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Finding the Third Proportional to 1,127,398.50 and 1,305,274.50

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Solution

The third proportional to 1,127,398.50 and 1,305,274.50 is: 1,511,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,398.50 : 1,305,274.50 = 1,305,274.50 : x
  2. Step 2: Convert to fraction form
    1,127,398.50/1,305,274.50 = 1,305,274.50/x
  3. Step 3: Cross multiply
    1,127,398.50x = 1,305,274.50 × 1,305,274.50
  4. Step 4: Simplify right side
    1,127,398.50x = 1,703,741,520,350.25
  5. Step 5: Solve for x
    x = 1,703,741,520,350.25/1,127,398.50
  6. Step 6: Final answer
    x = 1,511,215.00

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.