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Finding the Third Proportional to 539,982 and 805,599

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Solution

The third proportional to 539,982 and 805,599 is: 1,201,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,982 : 805,599 = 805,599 : x
  2. Step 2: Convert to fraction form
    539,982/805,599 = 805,599/x
  3. Step 3: Cross multiply
    539,982x = 805,599 × 805,599
  4. Step 4: Simplify right side
    539,982x = 648,989,748,801
  5. Step 5: Solve for x
    x = 648,989,748,801/539,982
  6. Step 6: Final answer
    x = 1,201,872.93

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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.