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Finding the Third Proportional to 290,584 and 615,792

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Solution

The third proportional to 290,584 and 615,792 is: 1,304,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,584 : 615,792 = 615,792 : x
  2. Step 2: Convert to fraction form
    290,584/615,792 = 615,792/x
  3. Step 3: Cross multiply
    290,584x = 615,792 × 615,792
  4. Step 4: Simplify right side
    290,584x = 379,199,787,264
  5. Step 5: Solve for x
    x = 379,199,787,264/290,584
  6. Step 6: Final answer
    x = 1,304,957.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.