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Finding the Third Proportional to 460,515.38 and 710,456.06

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Solution

The third proportional to 460,515.38 and 710,456.06 is: 1,096,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,515.38 : 710,456.06 = 710,456.06 : x
  2. Step 2: Convert to fraction form
    460,515.38/710,456.06 = 710,456.06/x
  3. Step 3: Cross multiply
    460,515.38x = 710,456.06 × 710,456.06
  4. Step 4: Simplify right side
    460,515.38x = 504,747,816,743.00
  5. Step 5: Solve for x
    x = 504,747,816,743.00/460,515.38
  6. Step 6: Final answer
    x = 1,096,049.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.