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Finding the Third Proportional to 329,695,732.69 and 495,275,365.69

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Solution

The third proportional to 329,695,732.69 and 495,275,365.69 is: 744,012,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,695,732.69 : 495,275,365.69 = 495,275,365.69 : x
  2. Step 2: Convert to fraction form
    329,695,732.69/495,275,365.69 = 495,275,365.69/x
  3. Step 3: Cross multiply
    329,695,732.69x = 495,275,365.69 × 495,275,365.69
  4. Step 4: Simplify right side
    329,695,732.69x = 245,297,687,856,886,848
  5. Step 5: Solve for x
    x = 245,297,687,856,886,848/329,695,732.69
  6. Step 6: Final answer
    x = 744,012,322.69

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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.