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Finding the Third Proportional to 360,145,598 and 774,891,832

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Solution

The third proportional to 360,145,598 and 774,891,832 is: 1,667,262,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,145,598 : 774,891,832 = 774,891,832 : x
  2. Step 2: Convert to fraction form
    360,145,598/774,891,832 = 774,891,832/x
  3. Step 3: Cross multiply
    360,145,598x = 774,891,832 × 774,891,832
  4. Step 4: Simplify right side
    360,145,598x = 600,457,351,300,316,160
  5. Step 5: Solve for x
    x = 600,457,351,300,316,160/360,145,598
  6. Step 6: Final answer
    x = 1,667,262,781.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.