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Finding the Third Proportional to 224,428 and 489,032

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Solution

The third proportional to 224,428 and 489,032 is: 1,065,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,428 : 489,032 = 489,032 : x
  2. Step 2: Convert to fraction form
    224,428/489,032 = 489,032/x
  3. Step 3: Cross multiply
    224,428x = 489,032 × 489,032
  4. Step 4: Simplify right side
    224,428x = 239,152,297,024
  5. Step 5: Solve for x
    x = 239,152,297,024/224,428
  6. Step 6: Final answer
    x = 1,065,608.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.