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Finding the Third Proportional to 234,594 and 553,245

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Solution

The third proportional to 234,594 and 553,245 is: 1,304,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,594 : 553,245 = 553,245 : x
  2. Step 2: Convert to fraction form
    234,594/553,245 = 553,245/x
  3. Step 3: Cross multiply
    234,594x = 553,245 × 553,245
  4. Step 4: Simplify right side
    234,594x = 306,080,030,025
  5. Step 5: Solve for x
    x = 306,080,030,025/234,594
  6. Step 6: Final answer
    x = 1,304,722.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.