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Finding the Third Proportional to 341,253.56 and 734,833.13

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Solution

The third proportional to 341,253.56 and 734,833.13 is: 1,582,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,253.56 : 734,833.13 = 734,833.13 : x
  2. Step 2: Convert to fraction form
    341,253.56/734,833.13 = 734,833.13/x
  3. Step 3: Cross multiply
    341,253.56x = 734,833.13 × 734,833.13
  4. Step 4: Simplify right side
    341,253.56x = 539,979,721,597.27
  5. Step 5: Solve for x
    x = 539,979,721,597.27/341,253.56
  6. Step 6: Final answer
    x = 1,582,341.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.