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Finding the Third Proportional to 315,979.50 and 658,212

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Solution

The third proportional to 315,979.50 and 658,212 is: 1,371,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,979.50 : 658,212 = 658,212 : x
  2. Step 2: Convert to fraction form
    315,979.50/658,212 = 658,212/x
  3. Step 3: Cross multiply
    315,979.50x = 658,212 × 658,212
  4. Step 4: Simplify right side
    315,979.50x = 433,243,036,944
  5. Step 5: Solve for x
    x = 433,243,036,944/315,979.50
  6. Step 6: Final answer
    x = 1,371,111.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.