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Finding the Third Proportional to 234,024,288 and 504,011,712

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Solution

The third proportional to 234,024,288 and 504,011,712 is: 1,085,476,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,024,288 : 504,011,712 = 504,011,712 : x
  2. Step 2: Convert to fraction form
    234,024,288/504,011,712 = 504,011,712/x
  3. Step 3: Cross multiply
    234,024,288x = 504,011,712 × 504,011,712
  4. Step 4: Simplify right side
    234,024,288x = 254,027,805,833,170,944
  5. Step 5: Solve for x
    x = 254,027,805,833,170,944/234,024,288
  6. Step 6: Final answer
    x = 1,085,476,246.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.