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Finding the Third Proportional to 252,208 and 553,556

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Solution

The third proportional to 252,208 and 553,556 is: 1,214,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,208 : 553,556 = 553,556 : x
  2. Step 2: Convert to fraction form
    252,208/553,556 = 553,556/x
  3. Step 3: Cross multiply
    252,208x = 553,556 × 553,556
  4. Step 4: Simplify right side
    252,208x = 306,424,245,136
  5. Step 5: Solve for x
    x = 306,424,245,136/252,208
  6. Step 6: Final answer
    x = 1,214,966.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.