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Finding the Third Proportional to 276,806.50 and 598,001

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Solution

The third proportional to 276,806.50 and 598,001 is: 1,291,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,806.50 : 598,001 = 598,001 : x
  2. Step 2: Convert to fraction form
    276,806.50/598,001 = 598,001/x
  3. Step 3: Cross multiply
    276,806.50x = 598,001 × 598,001
  4. Step 4: Simplify right side
    276,806.50x = 357,605,196,001
  5. Step 5: Solve for x
    x = 357,605,196,001/276,806.50
  6. Step 6: Final answer
    x = 1,291,895.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.