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Finding the Third Proportional to 652,177 and 857,609.50

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Solution

The third proportional to 652,177 and 857,609.50 is: 1,127,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,177 : 857,609.50 = 857,609.50 : x
  2. Step 2: Convert to fraction form
    652,177/857,609.50 = 857,609.50/x
  3. Step 3: Cross multiply
    652,177x = 857,609.50 × 857,609.50
  4. Step 4: Simplify right side
    652,177x = 735,494,054,490.25
  5. Step 5: Solve for x
    x = 735,494,054,490.25/652,177
  6. Step 6: Final answer
    x = 1,127,752.21

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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.