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Finding the Third Proportional to 292,147.50 and 437,058

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Solution

The third proportional to 292,147.50 and 437,058 is: 653,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,147.50 : 437,058 = 437,058 : x
  2. Step 2: Convert to fraction form
    292,147.50/437,058 = 437,058/x
  3. Step 3: Cross multiply
    292,147.50x = 437,058 × 437,058
  4. Step 4: Simplify right side
    292,147.50x = 191,019,695,364
  5. Step 5: Solve for x
    x = 191,019,695,364/292,147.50
  6. Step 6: Final answer
    x = 653,846.76

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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.