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Finding the Third Proportional to 316,020 and 487,530

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Solution

The third proportional to 316,020 and 487,530 is: 752,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,020 : 487,530 = 487,530 : x
  2. Step 2: Convert to fraction form
    316,020/487,530 = 487,530/x
  3. Step 3: Cross multiply
    316,020x = 487,530 × 487,530
  4. Step 4: Simplify right side
    316,020x = 237,685,500,900
  5. Step 5: Solve for x
    x = 237,685,500,900/316,020
  6. Step 6: Final answer
    x = 752,121.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.