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Finding the Third Proportional to 252,482 and 550,160

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Solution

The third proportional to 252,482 and 550,160 is: 1,198,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,482 : 550,160 = 550,160 : x
  2. Step 2: Convert to fraction form
    252,482/550,160 = 550,160/x
  3. Step 3: Cross multiply
    252,482x = 550,160 × 550,160
  4. Step 4: Simplify right side
    252,482x = 302,676,025,600
  5. Step 5: Solve for x
    x = 302,676,025,600/252,482
  6. Step 6: Final answer
    x = 1,198,802.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.