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Finding the Third Proportional to 216,343 and 473,404

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Solution

The third proportional to 216,343 and 473,404 is: 1,035,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,343 : 473,404 = 473,404 : x
  2. Step 2: Convert to fraction form
    216,343/473,404 = 473,404/x
  3. Step 3: Cross multiply
    216,343x = 473,404 × 473,404
  4. Step 4: Simplify right side
    216,343x = 224,111,347,216
  5. Step 5: Solve for x
    x = 224,111,347,216/216,343
  6. Step 6: Final answer
    x = 1,035,907.55

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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.