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Finding the Third Proportional to 467,294 and 710,181

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Solution

The third proportional to 467,294 and 710,181 is: 1,079,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,294 : 710,181 = 710,181 : x
  2. Step 2: Convert to fraction form
    467,294/710,181 = 710,181/x
  3. Step 3: Cross multiply
    467,294x = 710,181 × 710,181
  4. Step 4: Simplify right side
    467,294x = 504,357,052,761
  5. Step 5: Solve for x
    x = 504,357,052,761/467,294
  6. Step 6: Final answer
    x = 1,079,314.21

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Why These Related Problems?

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