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Finding the Third Proportional to 590,266.55 and 1,251,468.30

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Solution

The third proportional to 590,266.55 and 1,251,468.30 is: 2,653,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,266.55 : 1,251,468.30 = 1,251,468.30 : x
  2. Step 2: Convert to fraction form
    590,266.55/1,251,468.30 = 1,251,468.30/x
  3. Step 3: Cross multiply
    590,266.55x = 1,251,468.30 × 1,251,468.30
  4. Step 4: Simplify right side
    590,266.55x = 1,566,172,911,221.13
  5. Step 5: Solve for x
    x = 1,566,172,911,221.13/590,266.55
  6. Step 6: Final answer
    x = 2,653,331.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.