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Finding the Third Proportional to 220,146 and 482,340

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Solution

The third proportional to 220,146 and 482,340 is: 1,056,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,146 : 482,340 = 482,340 : x
  2. Step 2: Convert to fraction form
    220,146/482,340 = 482,340/x
  3. Step 3: Cross multiply
    220,146x = 482,340 × 482,340
  4. Step 4: Simplify right side
    220,146x = 232,651,875,600
  5. Step 5: Solve for x
    x = 232,651,875,600/220,146
  6. Step 6: Final answer
    x = 1,056,807.19

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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.