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Finding the Third Proportional to 610,524 and 897,534

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Solution

The third proportional to 610,524 and 897,534 is: 1,319,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,524 : 897,534 = 897,534 : x
  2. Step 2: Convert to fraction form
    610,524/897,534 = 897,534/x
  3. Step 3: Cross multiply
    610,524x = 897,534 × 897,534
  4. Step 4: Simplify right side
    610,524x = 805,567,281,156
  5. Step 5: Solve for x
    x = 805,567,281,156/610,524
  6. Step 6: Final answer
    x = 1,319,468.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.