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Finding the Third Proportional to 223,776 and 489,024

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Solution

The third proportional to 223,776 and 489,024 is: 1,068,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,776 : 489,024 = 489,024 : x
  2. Step 2: Convert to fraction form
    223,776/489,024 = 489,024/x
  3. Step 3: Cross multiply
    223,776x = 489,024 × 489,024
  4. Step 4: Simplify right side
    223,776x = 239,144,472,576
  5. Step 5: Solve for x
    x = 239,144,472,576/223,776
  6. Step 6: Final answer
    x = 1,068,677.93

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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.