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Finding the Third Proportional to 285,360 and 442,464

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Solution

The third proportional to 285,360 and 442,464 is: 686,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,360 : 442,464 = 442,464 : x
  2. Step 2: Convert to fraction form
    285,360/442,464 = 442,464/x
  3. Step 3: Cross multiply
    285,360x = 442,464 × 442,464
  4. Step 4: Simplify right side
    285,360x = 195,774,391,296
  5. Step 5: Solve for x
    x = 195,774,391,296/285,360
  6. Step 6: Final answer
    x = 686,061.09

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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.