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Finding the Third Proportional to 233,396 and 562,700

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Solution

The third proportional to 233,396 and 562,700 is: 1,356,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,396 : 562,700 = 562,700 : x
  2. Step 2: Convert to fraction form
    233,396/562,700 = 562,700/x
  3. Step 3: Cross multiply
    233,396x = 562,700 × 562,700
  4. Step 4: Simplify right side
    233,396x = 316,631,290,000
  5. Step 5: Solve for x
    x = 316,631,290,000/233,396
  6. Step 6: Final answer
    x = 1,356,626.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.