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Finding the Third Proportional to 612,750 and 898,524

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Solution

The third proportional to 612,750 and 898,524 is: 1,317,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,750 : 898,524 = 898,524 : x
  2. Step 2: Convert to fraction form
    612,750/898,524 = 898,524/x
  3. Step 3: Cross multiply
    612,750x = 898,524 × 898,524
  4. Step 4: Simplify right side
    612,750x = 807,345,378,576
  5. Step 5: Solve for x
    x = 807,345,378,576/612,750
  6. Step 6: Final answer
    x = 1,317,577.12

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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.