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Finding the Third Proportional to 397,034,259 and 600,657,781.50

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Solution

The third proportional to 397,034,259 and 600,657,781.50 is: 908,711,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,034,259 : 600,657,781.50 = 600,657,781.50 : x
  2. Step 2: Convert to fraction form
    397,034,259/600,657,781.50 = 600,657,781.50/x
  3. Step 3: Cross multiply
    397,034,259x = 600,657,781.50 × 600,657,781.50
  4. Step 4: Simplify right side
    397,034,259x = 360,789,770,476,501,760
  5. Step 5: Solve for x
    x = 360,789,770,476,501,760/397,034,259
  6. Step 6: Final answer
    x = 908,711,936.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.