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Finding the Third Proportional to 292,404 and 437,454

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Solution

The third proportional to 292,404 and 437,454 is: 654,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,404 : 437,454 = 437,454 : x
  2. Step 2: Convert to fraction form
    292,404/437,454 = 437,454/x
  3. Step 3: Cross multiply
    292,404x = 437,454 × 437,454
  4. Step 4: Simplify right side
    292,404x = 191,366,002,116
  5. Step 5: Solve for x
    x = 191,366,002,116/292,404
  6. Step 6: Final answer
    x = 654,457.54

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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.