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Finding the Third Proportional to 216,343 and 473,468

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Solution

The third proportional to 216,343 and 473,468 is: 1,036,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,343 : 473,468 = 473,468 : x
  2. Step 2: Convert to fraction form
    216,343/473,468 = 473,468/x
  3. Step 3: Cross multiply
    216,343x = 473,468 × 473,468
  4. Step 4: Simplify right side
    216,343x = 224,171,947,024
  5. Step 5: Solve for x
    x = 224,171,947,024/216,343
  6. Step 6: Final answer
    x = 1,036,187.66

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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.