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Finding the Third Proportional to 343,067,409 and 530,096,023.50

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Solution

The third proportional to 343,067,409 and 530,096,023.50 is: 819,086,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,067,409 : 530,096,023.50 = 530,096,023.50 : x
  2. Step 2: Convert to fraction form
    343,067,409/530,096,023.50 = 530,096,023.50/x
  3. Step 3: Cross multiply
    343,067,409x = 530,096,023.50 × 530,096,023.50
  4. Step 4: Simplify right side
    343,067,409x = 281,001,794,130,512,544
  5. Step 5: Solve for x
    x = 281,001,794,130,512,544/343,067,409
  6. Step 6: Final answer
    x = 819,086,240.08

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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.