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Finding the Third Proportional to 296,538,040 and 617,620,358

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Solution

The third proportional to 296,538,040 and 617,620,358 is: 1,286,360,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538,040 : 617,620,358 = 617,620,358 : x
  2. Step 2: Convert to fraction form
    296,538,040/617,620,358 = 617,620,358/x
  3. Step 3: Cross multiply
    296,538,040x = 617,620,358 × 617,620,358
  4. Step 4: Simplify right side
    296,538,040x = 381,454,906,616,048,192
  5. Step 5: Solve for x
    x = 381,454,906,616,048,192/296,538,040
  6. Step 6: Final answer
    x = 1,286,360,787.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.