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Finding the Third Proportional to 585,102 and 873,792

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Solution

The third proportional to 585,102 and 873,792 is: 1,304,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,102 : 873,792 = 873,792 : x
  2. Step 2: Convert to fraction form
    585,102/873,792 = 873,792/x
  3. Step 3: Cross multiply
    585,102x = 873,792 × 873,792
  4. Step 4: Simplify right side
    585,102x = 763,512,459,264
  5. Step 5: Solve for x
    x = 763,512,459,264/585,102
  6. Step 6: Final answer
    x = 1,304,921.98

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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.