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Finding the Third Proportional to 662,596 and 882,798

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Solution

The third proportional to 662,596 and 882,798 is: 1,176,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,596 : 882,798 = 882,798 : x
  2. Step 2: Convert to fraction form
    662,596/882,798 = 882,798/x
  3. Step 3: Cross multiply
    662,596x = 882,798 × 882,798
  4. Step 4: Simplify right side
    662,596x = 779,332,308,804
  5. Step 5: Solve for x
    x = 779,332,308,804/662,596
  6. Step 6: Final answer
    x = 1,176,180.22

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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.