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Finding the Third Proportional to 221,335 and 474,232

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Solution

The third proportional to 221,335 and 474,232 is: 1,016,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,335 : 474,232 = 474,232 : x
  2. Step 2: Convert to fraction form
    221,335/474,232 = 474,232/x
  3. Step 3: Cross multiply
    221,335x = 474,232 × 474,232
  4. Step 4: Simplify right side
    221,335x = 224,895,989,824
  5. Step 5: Solve for x
    x = 224,895,989,824/221,335
  6. Step 6: Final answer
    x = 1,016,088.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.