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Finding the Third Proportional to 220,482 and 349,581

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Solution

The third proportional to 220,482 and 349,581 is: 554,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,482 : 349,581 = 349,581 : x
  2. Step 2: Convert to fraction form
    220,482/349,581 = 349,581/x
  3. Step 3: Cross multiply
    220,482x = 349,581 × 349,581
  4. Step 4: Simplify right side
    220,482x = 122,206,875,561
  5. Step 5: Solve for x
    x = 122,206,875,561/220,482
  6. Step 6: Final answer
    x = 554,271.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.