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Finding the Third Proportional to 721,680.69 and 1,008,952.08

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Solution

The third proportional to 721,680.69 and 1,008,952.08 is: 1,410,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,680.69 : 1,008,952.08 = 1,008,952.08 : x
  2. Step 2: Convert to fraction form
    721,680.69/1,008,952.08 = 1,008,952.08/x
  3. Step 3: Cross multiply
    721,680.69x = 1,008,952.08 × 1,008,952.08
  4. Step 4: Simplify right side
    721,680.69x = 1,017,984,294,474.84
  5. Step 5: Solve for x
    x = 1,017,984,294,474.84/721,680.69
  6. Step 6: Final answer
    x = 1,410,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.