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Finding the Third Proportional to 288,575.25 and 636,277.50

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Solution

The third proportional to 288,575.25 and 636,277.50 is: 1,402,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575.25 : 636,277.50 = 636,277.50 : x
  2. Step 2: Convert to fraction form
    288,575.25/636,277.50 = 636,277.50/x
  3. Step 3: Cross multiply
    288,575.25x = 636,277.50 × 636,277.50
  4. Step 4: Simplify right side
    288,575.25x = 404,849,057,006.25
  5. Step 5: Solve for x
    x = 404,849,057,006.25/288,575.25
  6. Step 6: Final answer
    x = 1,402,923.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.