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Finding the Third Proportional to 257,009,238 and 391,536,846

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Solution

The third proportional to 257,009,238 and 391,536,846 is: 596,480,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,009,238 : 391,536,846 = 391,536,846 : x
  2. Step 2: Convert to fraction form
    257,009,238/391,536,846 = 391,536,846/x
  3. Step 3: Cross multiply
    257,009,238x = 391,536,846 × 391,536,846
  4. Step 4: Simplify right side
    257,009,238x = 153,301,101,775,627,712
  5. Step 5: Solve for x
    x = 153,301,101,775,627,712/257,009,238
  6. Step 6: Final answer
    x = 596,480,900.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.