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Finding the Third Proportional to 238,700 and 520,006

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Solution

The third proportional to 238,700 and 520,006 is: 1,132,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,700 : 520,006 = 520,006 : x
  2. Step 2: Convert to fraction form
    238,700/520,006 = 520,006/x
  3. Step 3: Cross multiply
    238,700x = 520,006 × 520,006
  4. Step 4: Simplify right side
    238,700x = 270,406,240,036
  5. Step 5: Solve for x
    x = 270,406,240,036/238,700
  6. Step 6: Final answer
    x = 1,132,828.82

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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.