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Finding the Third Proportional to 313,470 and 484,329

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Solution

The third proportional to 313,470 and 484,329 is: 748,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,470 : 484,329 = 484,329 : x
  2. Step 2: Convert to fraction form
    313,470/484,329 = 484,329/x
  3. Step 3: Cross multiply
    313,470x = 484,329 × 484,329
  4. Step 4: Simplify right side
    313,470x = 234,574,580,241
  5. Step 5: Solve for x
    x = 234,574,580,241/313,470
  6. Step 6: Final answer
    x = 748,315.88

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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.