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Finding the Third Proportional to 326,727 and 495,013.50

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Solution

The third proportional to 326,727 and 495,013.50 is: 749,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,727 : 495,013.50 = 495,013.50 : x
  2. Step 2: Convert to fraction form
    326,727/495,013.50 = 495,013.50/x
  3. Step 3: Cross multiply
    326,727x = 495,013.50 × 495,013.50
  4. Step 4: Simplify right side
    326,727x = 245,038,365,182.25
  5. Step 5: Solve for x
    x = 245,038,365,182.25/326,727
  6. Step 6: Final answer
    x = 749,978.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.