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Finding the Third Proportional to 524,880 and 776,248.31

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Solution

The third proportional to 524,880 and 776,248.31 is: 1,147,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,880 : 776,248.31 = 776,248.31 : x
  2. Step 2: Convert to fraction form
    524,880/776,248.31 = 776,248.31/x
  3. Step 3: Cross multiply
    524,880x = 776,248.31 × 776,248.31
  4. Step 4: Simplify right side
    524,880x = 602,561,442,659.10
  5. Step 5: Solve for x
    x = 602,561,442,659.10/524,880
  6. Step 6: Final answer
    x = 1,147,998.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.