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Finding the Third Proportional to 288,630 and 452,772.56

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Solution

The third proportional to 288,630 and 452,772.56 is: 710,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,630 : 452,772.56 = 452,772.56 : x
  2. Step 2: Convert to fraction form
    288,630/452,772.56 = 452,772.56/x
  3. Step 3: Cross multiply
    288,630x = 452,772.56 × 452,772.56
  4. Step 4: Simplify right side
    288,630x = 205,002,993,352.82
  5. Step 5: Solve for x
    x = 205,002,993,352.82/288,630
  6. Step 6: Final answer
    x = 710,262.25

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