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Finding the Third Proportional to 264,332 and 571,674

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Solution

The third proportional to 264,332 and 571,674 is: 1,236,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,332 : 571,674 = 571,674 : x
  2. Step 2: Convert to fraction form
    264,332/571,674 = 571,674/x
  3. Step 3: Cross multiply
    264,332x = 571,674 × 571,674
  4. Step 4: Simplify right side
    264,332x = 326,811,162,276
  5. Step 5: Solve for x
    x = 326,811,162,276/264,332
  6. Step 6: Final answer
    x = 1,236,366.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.