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Finding the Third Proportional to 316,702.13 and 466,674.75

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Solution

The third proportional to 316,702.13 and 466,674.75 is: 687,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,702.13 : 466,674.75 = 466,674.75 : x
  2. Step 2: Convert to fraction form
    316,702.13/466,674.75 = 466,674.75/x
  3. Step 3: Cross multiply
    316,702.13x = 466,674.75 × 466,674.75
  4. Step 4: Simplify right side
    316,702.13x = 217,785,322,287.56
  5. Step 5: Solve for x
    x = 217,785,322,287.56/316,702.13
  6. Step 6: Final answer
    x = 687,666.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.