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Finding the Third Proportional to 761,468.98 and 1,142,348.70

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Solution

The third proportional to 761,468.98 and 1,142,348.70 is: 1,713,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,468.98 : 1,142,348.70 = 1,142,348.70 : x
  2. Step 2: Convert to fraction form
    761,468.98/1,142,348.70 = 1,142,348.70/x
  3. Step 3: Cross multiply
    761,468.98x = 1,142,348.70 × 1,142,348.70
  4. Step 4: Simplify right side
    761,468.98x = 1,304,960,541,682.17
  5. Step 5: Solve for x
    x = 1,304,960,541,682.17/761,468.98
  6. Step 6: Final answer
    x = 1,713,740.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.