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Finding the Third Proportional to 343,067,420 and 530,096,044

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Solution

The third proportional to 343,067,420 and 530,096,044 is: 819,086,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,067,420 : 530,096,044 = 530,096,044 : x
  2. Step 2: Convert to fraction form
    343,067,420/530,096,044 = 530,096,044/x
  3. Step 3: Cross multiply
    343,067,420x = 530,096,044 × 530,096,044
  4. Step 4: Simplify right side
    343,067,420x = 281,001,815,864,449,920
  5. Step 5: Solve for x
    x = 281,001,815,864,449,920/343,067,420
  6. Step 6: Final answer
    x = 819,086,277.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.