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Finding the Third Proportional to 292,378.13 and 437,377.13

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Solution

The third proportional to 292,378.13 and 437,377.13 is: 654,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,378.13 : 437,377.13 = 437,377.13 : x
  2. Step 2: Convert to fraction form
    292,378.13/437,377.13 = 437,377.13/x
  3. Step 3: Cross multiply
    292,378.13x = 437,377.13 × 437,377.13
  4. Step 4: Simplify right side
    292,378.13x = 191,298,749,473.27
  5. Step 5: Solve for x
    x = 191,298,749,473.27/292,378.13
  6. Step 6: Final answer
    x = 654,285.44

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