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Finding the Third Proportional to 216,358 and 475,340

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Solution

The third proportional to 216,358 and 475,340 is: 1,044,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,358 : 475,340 = 475,340 : x
  2. Step 2: Convert to fraction form
    216,358/475,340 = 475,340/x
  3. Step 3: Cross multiply
    216,358x = 475,340 × 475,340
  4. Step 4: Simplify right side
    216,358x = 225,948,115,600
  5. Step 5: Solve for x
    x = 225,948,115,600/216,358
  6. Step 6: Final answer
    x = 1,044,325.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.