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Finding the Third Proportional to 510,401.25 and 1,118,488.50

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Solution

The third proportional to 510,401.25 and 1,118,488.50 is: 2,451,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,401.25 : 1,118,488.50 = 1,118,488.50 : x
  2. Step 2: Convert to fraction form
    510,401.25/1,118,488.50 = 1,118,488.50/x
  3. Step 3: Cross multiply
    510,401.25x = 1,118,488.50 × 1,118,488.50
  4. Step 4: Simplify right side
    510,401.25x = 1,251,016,524,632.25
  5. Step 5: Solve for x
    x = 1,251,016,524,632.25/510,401.25
  6. Step 6: Final answer
    x = 2,451,045.18

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Why These Related Problems?

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