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Finding the Third Proportional to 378,329,484 and 532,539,123

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Solution

The third proportional to 378,329,484 and 532,539,123 is: 749,605,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,329,484 : 532,539,123 = 532,539,123 : x
  2. Step 2: Convert to fraction form
    378,329,484/532,539,123 = 532,539,123/x
  3. Step 3: Cross multiply
    378,329,484x = 532,539,123 × 532,539,123
  4. Step 4: Simplify right side
    378,329,484x = 283,597,917,525,609,120
  5. Step 5: Solve for x
    x = 283,597,917,525,609,120/378,329,484
  6. Step 6: Final answer
    x = 749,605,646.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.