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Finding the Third Proportional to 240,194,499 and 524,432,259

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Solution

The third proportional to 240,194,499 and 524,432,259 is: 1,145,027,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,194,499 : 524,432,259 = 524,432,259 : x
  2. Step 2: Convert to fraction form
    240,194,499/524,432,259 = 524,432,259/x
  3. Step 3: Cross multiply
    240,194,499x = 524,432,259 × 524,432,259
  4. Step 4: Simplify right side
    240,194,499x = 275,029,194,279,843,072
  5. Step 5: Solve for x
    x = 275,029,194,279,843,072/240,194,499
  6. Step 6: Final answer
    x = 1,145,027,031.95

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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.