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Finding the Third Proportional to 364,128 and 745,748

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Solution

The third proportional to 364,128 and 745,748 is: 1,527,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,128 : 745,748 = 745,748 : x
  2. Step 2: Convert to fraction form
    364,128/745,748 = 745,748/x
  3. Step 3: Cross multiply
    364,128x = 745,748 × 745,748
  4. Step 4: Simplify right side
    364,128x = 556,140,079,504
  5. Step 5: Solve for x
    x = 556,140,079,504/364,128
  6. Step 6: Final answer
    x = 1,527,320.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.