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Finding the Third Proportional to 482,539,688.54 and 745,646,864.50

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Solution

The third proportional to 482,539,688.54 and 745,646,864.50 is: 1,152,214,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,539,688.54 : 745,646,864.50 = 745,646,864.50 : x
  2. Step 2: Convert to fraction form
    482,539,688.54/745,646,864.50 = 745,646,864.50/x
  3. Step 3: Cross multiply
    482,539,688.54x = 745,646,864.50 × 745,646,864.50
  4. Step 4: Simplify right side
    482,539,688.54x = 555,989,246,541,619,264
  5. Step 5: Solve for x
    x = 555,989,246,541,619,264/482,539,688.54
  6. Step 6: Final answer
    x = 1,152,214,542.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.