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Finding the Third Proportional to 585,537 and 873,432

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Solution

The third proportional to 585,537 and 873,432 is: 1,302,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,537 : 873,432 = 873,432 : x
  2. Step 2: Convert to fraction form
    585,537/873,432 = 873,432/x
  3. Step 3: Cross multiply
    585,537x = 873,432 × 873,432
  4. Step 4: Simplify right side
    585,537x = 762,883,458,624
  5. Step 5: Solve for x
    x = 762,883,458,624/585,537
  6. Step 6: Final answer
    x = 1,302,878.31

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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.