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Finding the Third Proportional to 221,808 and 485,594

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Solution

The third proportional to 221,808 and 485,594 is: 1,063,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,808 : 485,594 = 485,594 : x
  2. Step 2: Convert to fraction form
    221,808/485,594 = 485,594/x
  3. Step 3: Cross multiply
    221,808x = 485,594 × 485,594
  4. Step 4: Simplify right side
    221,808x = 235,801,532,836
  5. Step 5: Solve for x
    x = 235,801,532,836/221,808
  6. Step 6: Final answer
    x = 1,063,088.49

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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.