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Finding the Third Proportional to 535,304 and 782,850

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Solution

The third proportional to 535,304 and 782,850 is: 1,144,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,304 : 782,850 = 782,850 : x
  2. Step 2: Convert to fraction form
    535,304/782,850 = 782,850/x
  3. Step 3: Cross multiply
    535,304x = 782,850 × 782,850
  4. Step 4: Simplify right side
    535,304x = 612,854,122,500
  5. Step 5: Solve for x
    x = 612,854,122,500/535,304
  6. Step 6: Final answer
    x = 1,144,871.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.