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Finding the Third Proportional to 287,347.50 and 615,952.69

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Solution

The third proportional to 287,347.50 and 615,952.69 is: 1,320,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,347.50 : 615,952.69 = 615,952.69 : x
  2. Step 2: Convert to fraction form
    287,347.50/615,952.69 = 615,952.69/x
  3. Step 3: Cross multiply
    287,347.50x = 615,952.69 × 615,952.69
  4. Step 4: Simplify right side
    287,347.50x = 379,397,713,238.47
  5. Step 5: Solve for x
    x = 379,397,713,238.47/287,347.50
  6. Step 6: Final answer
    x = 1,320,344.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.