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Finding the Third Proportional to 475,628 and 736,150

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Solution

The third proportional to 475,628 and 736,150 is: 1,139,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,628 : 736,150 = 736,150 : x
  2. Step 2: Convert to fraction form
    475,628/736,150 = 736,150/x
  3. Step 3: Cross multiply
    475,628x = 736,150 × 736,150
  4. Step 4: Simplify right side
    475,628x = 541,916,822,500
  5. Step 5: Solve for x
    x = 541,916,822,500/475,628
  6. Step 6: Final answer
    x = 1,139,371.15

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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.