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Finding the Third Proportional to 316,002.52 and 691,124.27

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Solution

The third proportional to 316,002.52 and 691,124.27 is: 1,511,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,002.52 : 691,124.27 = 691,124.27 : x
  2. Step 2: Convert to fraction form
    316,002.52/691,124.27 = 691,124.27/x
  3. Step 3: Cross multiply
    316,002.52x = 691,124.27 × 691,124.27
  4. Step 4: Simplify right side
    316,002.52x = 477,652,761,334.51
  5. Step 5: Solve for x
    x = 477,652,761,334.51/316,002.52
  6. Step 6: Final answer
    x = 1,511,547.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.