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Finding the Third Proportional to 403,957 and 614,330

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Solution

The third proportional to 403,957 and 614,330 is: 934,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,957 : 614,330 = 614,330 : x
  2. Step 2: Convert to fraction form
    403,957/614,330 = 614,330/x
  3. Step 3: Cross multiply
    403,957x = 614,330 × 614,330
  4. Step 4: Simplify right side
    403,957x = 377,401,348,900
  5. Step 5: Solve for x
    x = 377,401,348,900/403,957
  6. Step 6: Final answer
    x = 934,261.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.