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Finding the Third Proportional to 652,185 and 857,620

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Solution

The third proportional to 652,185 and 857,620 is: 1,127,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,185 : 857,620 = 857,620 : x
  2. Step 2: Convert to fraction form
    652,185/857,620 = 857,620/x
  3. Step 3: Cross multiply
    652,185x = 857,620 × 857,620
  4. Step 4: Simplify right side
    652,185x = 735,512,064,400
  5. Step 5: Solve for x
    x = 735,512,064,400/652,185
  6. Step 6: Final answer
    x = 1,127,765.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.