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Finding the Third Proportional to 467,292 and 710,178

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Solution

The third proportional to 467,292 and 710,178 is: 1,079,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,292 : 710,178 = 710,178 : x
  2. Step 2: Convert to fraction form
    467,292/710,178 = 710,178/x
  3. Step 3: Cross multiply
    467,292x = 710,178 × 710,178
  4. Step 4: Simplify right side
    467,292x = 504,352,791,684
  5. Step 5: Solve for x
    x = 504,352,791,684/467,292
  6. Step 6: Final answer
    x = 1,079,309.71

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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.