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Finding the Third Proportional to 662,574 and 882,765

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Solution

The third proportional to 662,574 and 882,765 is: 1,176,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,574 : 882,765 = 882,765 : x
  2. Step 2: Convert to fraction form
    662,574/882,765 = 882,765/x
  3. Step 3: Cross multiply
    662,574x = 882,765 × 882,765
  4. Step 4: Simplify right side
    662,574x = 779,274,045,225
  5. Step 5: Solve for x
    x = 779,274,045,225/662,574
  6. Step 6: Final answer
    x = 1,176,131.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.