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Finding the Third Proportional to 567,563 and 849,781

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Solution

The third proportional to 567,563 and 849,781 is: 1,272,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,563 : 849,781 = 849,781 : x
  2. Step 2: Convert to fraction form
    567,563/849,781 = 849,781/x
  3. Step 3: Cross multiply
    567,563x = 849,781 × 849,781
  4. Step 4: Simplify right side
    567,563x = 722,127,747,961
  5. Step 5: Solve for x
    x = 722,127,747,961/567,563
  6. Step 6: Final answer
    x = 1,272,330.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.