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Finding the Third Proportional to 221,415 and 485,385.75

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Solution

The third proportional to 221,415 and 485,385.75 is: 1,064,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,415 : 485,385.75 = 485,385.75 : x
  2. Step 2: Convert to fraction form
    221,415/485,385.75 = 485,385.75/x
  3. Step 3: Cross multiply
    221,415x = 485,385.75 × 485,385.75
  4. Step 4: Simplify right side
    221,415x = 235,599,326,303.06
  5. Step 5: Solve for x
    x = 235,599,326,303.06/221,415
  6. Step 6: Final answer
    x = 1,064,062.17

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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.