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Finding the Third Proportional to 318,872,522.25 and 455,988,251.25

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Solution

The third proportional to 318,872,522.25 and 455,988,251.25 is: 652,063,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,872,522.25 : 455,988,251.25 = 455,988,251.25 : x
  2. Step 2: Convert to fraction form
    318,872,522.25/455,988,251.25 = 455,988,251.25/x
  3. Step 3: Cross multiply
    318,872,522.25x = 455,988,251.25 × 455,988,251.25
  4. Step 4: Simplify right side
    318,872,522.25x = 207,925,285,278,033,120
  5. Step 5: Solve for x
    x = 207,925,285,278,033,120/318,872,522.25
  6. Step 6: Final answer
    x = 652,063,977.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.