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Finding the Third Proportional to 257,003,472.38 and 391,528,196.44

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Solution

The third proportional to 257,003,472.38 and 391,528,196.44 is: 596,467,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,003,472.38 : 391,528,196.44 = 391,528,196.44 : x
  2. Step 2: Convert to fraction form
    257,003,472.38/391,528,196.44 = 391,528,196.44/x
  3. Step 3: Cross multiply
    257,003,472.38x = 391,528,196.44 × 391,528,196.44
  4. Step 4: Simplify right side
    257,003,472.38x = 153,294,328,605,601,600
  5. Step 5: Solve for x
    x = 153,294,328,605,601,600/257,003,472.38
  6. Step 6: Final answer
    x = 596,467,927.80

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Why These Related Problems?

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