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Finding the Third Proportional to 258,802 and 565,580

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Solution

The third proportional to 258,802 and 565,580 is: 1,236,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,802 : 565,580 = 565,580 : x
  2. Step 2: Convert to fraction form
    258,802/565,580 = 565,580/x
  3. Step 3: Cross multiply
    258,802x = 565,580 × 565,580
  4. Step 4: Simplify right side
    258,802x = 319,880,736,400
  5. Step 5: Solve for x
    x = 319,880,736,400/258,802
  6. Step 6: Final answer
    x = 1,236,005.66

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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.