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Finding the Third Proportional to 365,938 and 571,040

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Solution

The third proportional to 365,938 and 571,040 is: 891,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,938 : 571,040 = 571,040 : x
  2. Step 2: Convert to fraction form
    365,938/571,040 = 571,040/x
  3. Step 3: Cross multiply
    365,938x = 571,040 × 571,040
  4. Step 4: Simplify right side
    365,938x = 326,086,681,600
  5. Step 5: Solve for x
    x = 326,086,681,600/365,938
  6. Step 6: Final answer
    x = 891,098.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.