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Finding the Third Proportional to 516,648 and 805,584

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Solution

The third proportional to 516,648 and 805,584 is: 1,256,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,648 : 805,584 = 805,584 : x
  2. Step 2: Convert to fraction form
    516,648/805,584 = 805,584/x
  3. Step 3: Cross multiply
    516,648x = 805,584 × 805,584
  4. Step 4: Simplify right side
    516,648x = 648,965,581,056
  5. Step 5: Solve for x
    x = 648,965,581,056/516,648
  6. Step 6: Final answer
    x = 1,256,107.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.