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Finding the Third Proportional to 221,570 and 483,240

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Solution

The third proportional to 221,570 and 483,240 is: 1,053,937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,570 : 483,240 = 483,240 : x
  2. Step 2: Convert to fraction form
    221,570/483,240 = 483,240/x
  3. Step 3: Cross multiply
    221,570x = 483,240 × 483,240
  4. Step 4: Simplify right side
    221,570x = 233,520,897,600
  5. Step 5: Solve for x
    x = 233,520,897,600/221,570
  6. Step 6: Final answer
    x = 1,053,937.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.