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Finding the Third Proportional to 258,721 and 565,533

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Solution

The third proportional to 258,721 and 565,533 is: 1,236,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,721 : 565,533 = 565,533 : x
  2. Step 2: Convert to fraction form
    258,721/565,533 = 565,533/x
  3. Step 3: Cross multiply
    258,721x = 565,533 × 565,533
  4. Step 4: Simplify right side
    258,721x = 319,827,574,089
  5. Step 5: Solve for x
    x = 319,827,574,089/258,721
  6. Step 6: Final answer
    x = 1,236,187.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.