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Finding the Third Proportional to 288,672.61 and 452,834.30

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Solution

The third proportional to 288,672.61 and 452,834.30 is: 710,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,672.61 : 452,834.30 = 452,834.30 : x
  2. Step 2: Convert to fraction form
    288,672.61/452,834.30 = 452,834.30/x
  3. Step 3: Cross multiply
    288,672.61x = 452,834.30 × 452,834.30
  4. Step 4: Simplify right side
    288,672.61x = 205,058,900,426.28
  5. Step 5: Solve for x
    x = 205,058,900,426.28/288,672.61
  6. Step 6: Final answer
    x = 710,351.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.