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Finding the Third Proportional to 397,034,257.50 and 600,657,772.50

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Solution

The third proportional to 397,034,257.50 and 600,657,772.50 is: 908,711,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,034,257.50 : 600,657,772.50 = 600,657,772.50 : x
  2. Step 2: Convert to fraction form
    397,034,257.50/600,657,772.50 = 600,657,772.50/x
  3. Step 3: Cross multiply
    397,034,257.50x = 600,657,772.50 × 600,657,772.50
  4. Step 4: Simplify right side
    397,034,257.50x = 360,789,759,664,661,760
  5. Step 5: Solve for x
    x = 360,789,759,664,661,760/397,034,257.50
  6. Step 6: Final answer
    x = 908,711,913.01

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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.