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Finding the Third Proportional to 408,544,952 and 611,369,940

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Solution

The third proportional to 408,544,952 and 611,369,940 is: 914,888,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,544,952 : 611,369,940 = 611,369,940 : x
  2. Step 2: Convert to fraction form
    408,544,952/611,369,940 = 611,369,940/x
  3. Step 3: Cross multiply
    408,544,952x = 611,369,940 × 611,369,940
  4. Step 4: Simplify right side
    408,544,952x = 373,773,203,535,603,584
  5. Step 5: Solve for x
    x = 373,773,203,535,603,584/408,544,952
  6. Step 6: Final answer
    x = 914,888,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.