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Finding the Third Proportional to 246,932 and 360,964.50

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Solution

The third proportional to 246,932 and 360,964.50 is: 527,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,932 : 360,964.50 = 360,964.50 : x
  2. Step 2: Convert to fraction form
    246,932/360,964.50 = 360,964.50/x
  3. Step 3: Cross multiply
    246,932x = 360,964.50 × 360,964.50
  4. Step 4: Simplify right side
    246,932x = 130,295,370,260.25
  5. Step 5: Solve for x
    x = 130,295,370,260.25/246,932
  6. Step 6: Final answer
    x = 527,656.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.