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Finding the Third Proportional to 221,084 and 473,712

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Solution

The third proportional to 221,084 and 473,712 is: 1,015,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,084 : 473,712 = 473,712 : x
  2. Step 2: Convert to fraction form
    221,084/473,712 = 473,712/x
  3. Step 3: Cross multiply
    221,084x = 473,712 × 473,712
  4. Step 4: Simplify right side
    221,084x = 224,403,058,944
  5. Step 5: Solve for x
    x = 224,403,058,944/221,084
  6. Step 6: Final answer
    x = 1,015,012.66

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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.