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Finding the Third Proportional to 223,657 and 480,685

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Solution

The third proportional to 223,657 and 480,685 is: 1,033,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,657 : 480,685 = 480,685 : x
  2. Step 2: Convert to fraction form
    223,657/480,685 = 480,685/x
  3. Step 3: Cross multiply
    223,657x = 480,685 × 480,685
  4. Step 4: Simplify right side
    223,657x = 231,058,069,225
  5. Step 5: Solve for x
    x = 231,058,069,225/223,657
  6. Step 6: Final answer
    x = 1,033,091.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.