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Finding the Third Proportional to 292,143.38 and 437,049

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Solution

The third proportional to 292,143.38 and 437,049 is: 653,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,143.38 : 437,049 = 437,049 : x
  2. Step 2: Convert to fraction form
    292,143.38/437,049 = 437,049/x
  3. Step 3: Cross multiply
    292,143.38x = 437,049 × 437,049
  4. Step 4: Simplify right side
    292,143.38x = 191,011,828,401
  5. Step 5: Solve for x
    x = 191,011,828,401/292,143.38
  6. Step 6: Final answer
    x = 653,829.06

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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.