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Finding the Third Proportional to 584,569.13 and 930,882.38

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Solution

The third proportional to 584,569.13 and 930,882.38 is: 1,482,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,569.13 : 930,882.38 = 930,882.38 : x
  2. Step 2: Convert to fraction form
    584,569.13/930,882.38 = 930,882.38/x
  3. Step 3: Cross multiply
    584,569.13x = 930,882.38 × 930,882.38
  4. Step 4: Simplify right side
    584,569.13x = 866,541,996,085.64
  5. Step 5: Solve for x
    x = 866,541,996,085.64/584,569.13
  6. Step 6: Final answer
    x = 1,482,360.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.