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Finding the Third Proportional to 469,694 and 727,437

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Solution

The third proportional to 469,694 and 727,437 is: 1,126,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,694 : 727,437 = 727,437 : x
  2. Step 2: Convert to fraction form
    469,694/727,437 = 727,437/x
  3. Step 3: Cross multiply
    469,694x = 727,437 × 727,437
  4. Step 4: Simplify right side
    469,694x = 529,164,588,969
  5. Step 5: Solve for x
    x = 529,164,588,969/469,694
  6. Step 6: Final answer
    x = 1,126,615.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.