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Finding the Third Proportional to 581,031.75 and 1,264,952.25

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Solution

The third proportional to 581,031.75 and 1,264,952.25 is: 2,753,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,031.75 : 1,264,952.25 = 1,264,952.25 : x
  2. Step 2: Convert to fraction form
    581,031.75/1,264,952.25 = 1,264,952.25/x
  3. Step 3: Cross multiply
    581,031.75x = 1,264,952.25 × 1,264,952.25
  4. Step 4: Simplify right side
    581,031.75x = 1,600,104,194,780.06
  5. Step 5: Solve for x
    x = 1,600,104,194,780.06/581,031.75
  6. Step 6: Final answer
    x = 2,753,901.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.