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Finding the Third Proportional to 460,542 and 710,496

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Solution

The third proportional to 460,542 and 710,496 is: 1,096,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,542 : 710,496 = 710,496 : x
  2. Step 2: Convert to fraction form
    460,542/710,496 = 710,496/x
  3. Step 3: Cross multiply
    460,542x = 710,496 × 710,496
  4. Step 4: Simplify right side
    460,542x = 504,804,566,016
  5. Step 5: Solve for x
    x = 504,804,566,016/460,542
  6. Step 6: Final answer
    x = 1,096,109.73

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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.