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Finding the Third Proportional to 216,264 and 474,627.75

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Solution

The third proportional to 216,264 and 474,627.75 is: 1,041,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,264 : 474,627.75 = 474,627.75 : x
  2. Step 2: Convert to fraction form
    216,264/474,627.75 = 474,627.75/x
  3. Step 3: Cross multiply
    216,264x = 474,627.75 × 474,627.75
  4. Step 4: Simplify right side
    216,264x = 225,271,501,070.06
  5. Step 5: Solve for x
    x = 225,271,501,070.06/216,264
  6. Step 6: Final answer
    x = 1,041,650.49

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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.