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Finding the Third Proportional to 461,655 and 709,159

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Solution

The third proportional to 461,655 and 709,159 is: 1,089,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,655 : 709,159 = 709,159 : x
  2. Step 2: Convert to fraction form
    461,655/709,159 = 709,159/x
  3. Step 3: Cross multiply
    461,655x = 709,159 × 709,159
  4. Step 4: Simplify right side
    461,655x = 502,906,487,281
  5. Step 5: Solve for x
    x = 502,906,487,281/461,655
  6. Step 6: Final answer
    x = 1,089,355.66

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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.