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Finding the Third Proportional to 369,257,834 and 584,710,329

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Solution

The third proportional to 369,257,834 and 584,710,329 is: 925,873,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,257,834 : 584,710,329 = 584,710,329 : x
  2. Step 2: Convert to fraction form
    369,257,834/584,710,329 = 584,710,329/x
  3. Step 3: Cross multiply
    369,257,834x = 584,710,329 × 584,710,329
  4. Step 4: Simplify right side
    369,257,834x = 341,886,168,839,288,256
  5. Step 5: Solve for x
    x = 341,886,168,839,288,256/369,257,834
  6. Step 6: Final answer
    x = 925,873,840.33

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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.