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Finding the Third Proportional to 428,627 and 646,829

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Solution

The third proportional to 428,627 and 646,829 is: 976,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,627 : 646,829 = 646,829 : x
  2. Step 2: Convert to fraction form
    428,627/646,829 = 646,829/x
  3. Step 3: Cross multiply
    428,627x = 646,829 × 646,829
  4. Step 4: Simplify right side
    428,627x = 418,387,755,241
  5. Step 5: Solve for x
    x = 418,387,755,241/428,627
  6. Step 6: Final answer
    x = 976,111.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.