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Finding the Third Proportional to 396,238,632 and 600,341,574

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Solution

The third proportional to 396,238,632 and 600,341,574 is: 909,578,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,238,632 : 600,341,574 = 600,341,574 : x
  2. Step 2: Convert to fraction form
    396,238,632/600,341,574 = 600,341,574/x
  3. Step 3: Cross multiply
    396,238,632x = 600,341,574 × 600,341,574
  4. Step 4: Simplify right side
    396,238,632x = 360,410,005,472,797,504
  5. Step 5: Solve for x
    x = 360,410,005,472,797,504/396,238,632
  6. Step 6: Final answer
    x = 909,578,159.14

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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.