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Finding the Third Proportional to 585,280 and 874,464

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Solution

The third proportional to 585,280 and 874,464 is: 1,306,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,280 : 874,464 = 874,464 : x
  2. Step 2: Convert to fraction form
    585,280/874,464 = 874,464/x
  3. Step 3: Cross multiply
    585,280x = 874,464 × 874,464
  4. Step 4: Simplify right side
    585,280x = 764,687,287,296
  5. Step 5: Solve for x
    x = 764,687,287,296/585,280
  6. Step 6: Final answer
    x = 1,306,532.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.