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Finding the Third Proportional to 221,801.63 and 484,650

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Solution

The third proportional to 221,801.63 and 484,650 is: 1,058,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,801.63 : 484,650 = 484,650 : x
  2. Step 2: Convert to fraction form
    221,801.63/484,650 = 484,650/x
  3. Step 3: Cross multiply
    221,801.63x = 484,650 × 484,650
  4. Step 4: Simplify right side
    221,801.63x = 234,885,622,500
  5. Step 5: Solve for x
    x = 234,885,622,500/221,801.63
  6. Step 6: Final answer
    x = 1,058,989.64

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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.