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Finding the Third Proportional to 221,730.75 and 486,384.75

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Solution

The third proportional to 221,730.75 and 486,384.75 is: 1,066,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,730.75 : 486,384.75 = 486,384.75 : x
  2. Step 2: Convert to fraction form
    221,730.75/486,384.75 = 486,384.75/x
  3. Step 3: Cross multiply
    221,730.75x = 486,384.75 × 486,384.75
  4. Step 4: Simplify right side
    221,730.75x = 236,570,125,032.56
  5. Step 5: Solve for x
    x = 236,570,125,032.56/221,730.75
  6. Step 6: Final answer
    x = 1,066,925.20

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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.