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Finding the Third Proportional to 652,178 and 857,610

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Solution

The third proportional to 652,178 and 857,610 is: 1,127,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,178 : 857,610 = 857,610 : x
  2. Step 2: Convert to fraction form
    652,178/857,610 = 857,610/x
  3. Step 3: Cross multiply
    652,178x = 857,610 × 857,610
  4. Step 4: Simplify right side
    652,178x = 735,494,912,100
  5. Step 5: Solve for x
    x = 735,494,912,100/652,178
  6. Step 6: Final answer
    x = 1,127,751.80

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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.