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Finding the Third Proportional to 351,346,166 and 763,175,332

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Solution

The third proportional to 351,346,166 and 763,175,332 is: 1,657,728,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,346,166 : 763,175,332 = 763,175,332 : x
  2. Step 2: Convert to fraction form
    351,346,166/763,175,332 = 763,175,332/x
  3. Step 3: Cross multiply
    351,346,166x = 763,175,332 × 763,175,332
  4. Step 4: Simplify right side
    351,346,166x = 582,436,587,373,310,208
  5. Step 5: Solve for x
    x = 582,436,587,373,310,208/351,346,166
  6. Step 6: Final answer
    x = 1,657,728,598.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.