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Finding the Third Proportional to 345,744,940 and 505,680,616

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Solution

The third proportional to 345,744,940 and 505,680,616 is: 739,599,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,744,940 : 505,680,616 = 505,680,616 : x
  2. Step 2: Convert to fraction form
    345,744,940/505,680,616 = 505,680,616/x
  3. Step 3: Cross multiply
    345,744,940x = 505,680,616 × 505,680,616
  4. Step 4: Simplify right side
    345,744,940x = 255,712,885,398,139,456
  5. Step 5: Solve for x
    x = 255,712,885,398,139,456/345,744,940
  6. Step 6: Final answer
    x = 739,599,791.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.