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Finding the Third Proportional to 315,436 and 488,706

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Solution

The third proportional to 315,436 and 488,706 is: 757,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,436 : 488,706 = 488,706 : x
  2. Step 2: Convert to fraction form
    315,436/488,706 = 488,706/x
  3. Step 3: Cross multiply
    315,436x = 488,706 × 488,706
  4. Step 4: Simplify right side
    315,436x = 238,833,554,436
  5. Step 5: Solve for x
    x = 238,833,554,436/315,436
  6. Step 6: Final answer
    x = 757,153.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.