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Finding the Third Proportional to 257,003,545 and 391,528,320

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Solution

The third proportional to 257,003,545 and 391,528,320 is: 596,468,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,003,545 : 391,528,320 = 391,528,320 : x
  2. Step 2: Convert to fraction form
    257,003,545/391,528,320 = 391,528,320/x
  3. Step 3: Cross multiply
    257,003,545x = 391,528,320 × 391,528,320
  4. Step 4: Simplify right side
    257,003,545x = 153,294,425,362,022,400
  5. Step 5: Solve for x
    x = 153,294,425,362,022,400/257,003,545
  6. Step 6: Final answer
    x = 596,468,135.73

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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.