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Finding the Third Proportional to 288,677.25 and 452,841.75

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Solution

The third proportional to 288,677.25 and 452,841.75 is: 710,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,677.25 : 452,841.75 = 452,841.75 : x
  2. Step 2: Convert to fraction form
    288,677.25/452,841.75 = 452,841.75/x
  3. Step 3: Cross multiply
    288,677.25x = 452,841.75 × 452,841.75
  4. Step 4: Simplify right side
    288,677.25x = 205,065,650,543.06
  5. Step 5: Solve for x
    x = 205,065,650,543.06/288,677.25
  6. Step 6: Final answer
    x = 710,363.05

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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.