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Finding the Third Proportional to 410,352 and 613,887

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Solution

The third proportional to 410,352 and 613,887 is: 918,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,352 : 613,887 = 613,887 : x
  2. Step 2: Convert to fraction form
    410,352/613,887 = 613,887/x
  3. Step 3: Cross multiply
    410,352x = 613,887 × 613,887
  4. Step 4: Simplify right side
    410,352x = 376,857,248,769
  5. Step 5: Solve for x
    x = 376,857,248,769/410,352
  6. Step 6: Final answer
    x = 918,375.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.