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Finding the Third Proportional to 534,984 and 831,048

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Solution

The third proportional to 534,984 and 831,048 is: 1,290,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,984 : 831,048 = 831,048 : x
  2. Step 2: Convert to fraction form
    534,984/831,048 = 831,048/x
  3. Step 3: Cross multiply
    534,984x = 831,048 × 831,048
  4. Step 4: Simplify right side
    534,984x = 690,640,778,304
  5. Step 5: Solve for x
    x = 690,640,778,304/534,984
  6. Step 6: Final answer
    x = 1,290,955.95

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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.