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Finding the Third Proportional to 461,659 and 709,165

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Solution

The third proportional to 461,659 and 709,165 is: 1,089,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,659 : 709,165 = 709,165 : x
  2. Step 2: Convert to fraction form
    461,659/709,165 = 709,165/x
  3. Step 3: Cross multiply
    461,659x = 709,165 × 709,165
  4. Step 4: Simplify right side
    461,659x = 502,914,997,225
  5. Step 5: Solve for x
    x = 502,914,997,225/461,659
  6. Step 6: Final answer
    x = 1,089,364.65

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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.