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Finding the Third Proportional to 567,302 and 839,751

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Solution

The third proportional to 567,302 and 839,751 is: 1,243,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,302 : 839,751 = 839,751 : x
  2. Step 2: Convert to fraction form
    567,302/839,751 = 839,751/x
  3. Step 3: Cross multiply
    567,302x = 839,751 × 839,751
  4. Step 4: Simplify right side
    567,302x = 705,181,742,001
  5. Step 5: Solve for x
    x = 705,181,742,001/567,302
  6. Step 6: Final answer
    x = 1,243,044.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.