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Finding the Third Proportional to 548,478 and 875,846.25

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Solution

The third proportional to 548,478 and 875,846.25 is: 1,398,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,478 : 875,846.25 = 875,846.25 : x
  2. Step 2: Convert to fraction form
    548,478/875,846.25 = 875,846.25/x
  3. Step 3: Cross multiply
    548,478x = 875,846.25 × 875,846.25
  4. Step 4: Simplify right side
    548,478x = 767,106,653,639.06
  5. Step 5: Solve for x
    x = 767,106,653,639.06/548,478
  6. Step 6: Final answer
    x = 1,398,609.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.