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Finding the Third Proportional to 286,690,950 and 442,710,372

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Solution

The third proportional to 286,690,950 and 442,710,372 is: 683,636,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690,950 : 442,710,372 = 442,710,372 : x
  2. Step 2: Convert to fraction form
    286,690,950/442,710,372 = 442,710,372/x
  3. Step 3: Cross multiply
    286,690,950x = 442,710,372 × 442,710,372
  4. Step 4: Simplify right side
    286,690,950x = 195,992,473,476,378,368
  5. Step 5: Solve for x
    x = 195,992,473,476,378,368/286,690,950
  6. Step 6: Final answer
    x = 683,636,764.52

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.