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Finding the Third Proportional to 329,772,474 and 502,395,426

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Solution

The third proportional to 329,772,474 and 502,395,426 is: 765,379,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,772,474 : 502,395,426 = 502,395,426 : x
  2. Step 2: Convert to fraction form
    329,772,474/502,395,426 = 502,395,426/x
  3. Step 3: Cross multiply
    329,772,474x = 502,395,426 × 502,395,426
  4. Step 4: Simplify right side
    329,772,474x = 252,401,164,065,721,472
  5. Step 5: Solve for x
    x = 252,401,164,065,721,472/329,772,474
  6. Step 6: Final answer
    x = 765,379,720.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.