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Finding the Third Proportional to 715,335.75 and 1,080,294.75

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Solution

The third proportional to 715,335.75 and 1,080,294.75 is: 1,631,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,335.75 : 1,080,294.75 = 1,080,294.75 : x
  2. Step 2: Convert to fraction form
    715,335.75/1,080,294.75 = 1,080,294.75/x
  3. Step 3: Cross multiply
    715,335.75x = 1,080,294.75 × 1,080,294.75
  4. Step 4: Simplify right side
    715,335.75x = 1,167,036,746,877.56
  5. Step 5: Solve for x
    x = 1,167,036,746,877.56/715,335.75
  6. Step 6: Final answer
    x = 1,631,453.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.