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Finding the Third Proportional to 306,726 and 413,001

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Solution

The third proportional to 306,726 and 413,001 is: 556,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,726 : 413,001 = 413,001 : x
  2. Step 2: Convert to fraction form
    306,726/413,001 = 413,001/x
  3. Step 3: Cross multiply
    306,726x = 413,001 × 413,001
  4. Step 4: Simplify right side
    306,726x = 170,569,826,001
  5. Step 5: Solve for x
    x = 170,569,826,001/306,726
  6. Step 6: Final answer
    x = 556,098.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.