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Finding the Third Proportional to 369,257,832 and 584,710,326

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Solution

The third proportional to 369,257,832 and 584,710,326 is: 925,873,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,257,832 : 584,710,326 = 584,710,326 : x
  2. Step 2: Convert to fraction form
    369,257,832/584,710,326 = 584,710,326/x
  3. Step 3: Cross multiply
    369,257,832x = 584,710,326 × 584,710,326
  4. Step 4: Simplify right side
    369,257,832x = 341,886,165,331,026,304
  5. Step 5: Solve for x
    x = 341,886,165,331,026,304/369,257,832
  6. Step 6: Final answer
    x = 925,873,835.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.