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Finding the Third Proportional to 491,670 and 750,627

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Solution

The third proportional to 491,670 and 750,627 is: 1,145,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,670 : 750,627 = 750,627 : x
  2. Step 2: Convert to fraction form
    491,670/750,627 = 750,627/x
  3. Step 3: Cross multiply
    491,670x = 750,627 × 750,627
  4. Step 4: Simplify right side
    491,670x = 563,440,893,129
  5. Step 5: Solve for x
    x = 563,440,893,129/491,670
  6. Step 6: Final answer
    x = 1,145,973.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.