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Finding the Third Proportional to 268,328,315.25 and 402,776,479.13

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Solution

The third proportional to 268,328,315.25 and 402,776,479.13 is: 604,591,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,328,315.25 : 402,776,479.13 = 402,776,479.13 : x
  2. Step 2: Convert to fraction form
    268,328,315.25/402,776,479.13 = 402,776,479.13/x
  3. Step 3: Cross multiply
    268,328,315.25x = 402,776,479.13 × 402,776,479.13
  4. Step 4: Simplify right side
    268,328,315.25x = 162,228,892,136,331,552
  5. Step 5: Solve for x
    x = 162,228,892,136,331,552/268,328,315.25
  6. Step 6: Final answer
    x = 604,591,028.66

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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.