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Finding the Third Proportional to 350,127 and 495,461.25

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Solution

The third proportional to 350,127 and 495,461.25 is: 701,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,127 : 495,461.25 = 495,461.25 : x
  2. Step 2: Convert to fraction form
    350,127/495,461.25 = 495,461.25/x
  3. Step 3: Cross multiply
    350,127x = 495,461.25 × 495,461.25
  4. Step 4: Simplify right side
    350,127x = 245,481,850,251.56
  5. Step 5: Solve for x
    x = 245,481,850,251.56/350,127
  6. Step 6: Final answer
    x = 701,122.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.