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Finding the Third Proportional to 598,927.50 and 1,299,006

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Solution

The third proportional to 598,927.50 and 1,299,006 is: 2,817,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,927.50 : 1,299,006 = 1,299,006 : x
  2. Step 2: Convert to fraction form
    598,927.50/1,299,006 = 1,299,006/x
  3. Step 3: Cross multiply
    598,927.50x = 1,299,006 × 1,299,006
  4. Step 4: Simplify right side
    598,927.50x = 1,687,416,588,036
  5. Step 5: Solve for x
    x = 1,687,416,588,036/598,927.50
  6. Step 6: Final answer
    x = 2,817,397.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.