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Finding the Third Proportional to 567,567 and 849,786

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Solution

The third proportional to 567,567 and 849,786 is: 1,272,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,567 : 849,786 = 849,786 : x
  2. Step 2: Convert to fraction form
    567,567/849,786 = 849,786/x
  3. Step 3: Cross multiply
    567,567x = 849,786 × 849,786
  4. Step 4: Simplify right side
    567,567x = 722,136,245,796
  5. Step 5: Solve for x
    x = 722,136,245,796/567,567
  6. Step 6: Final answer
    x = 1,272,336.56

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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.