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Finding the Third Proportional to 260,946 and 565,062

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Solution

The third proportional to 260,946 and 565,062 is: 1,223,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,946 : 565,062 = 565,062 : x
  2. Step 2: Convert to fraction form
    260,946/565,062 = 565,062/x
  3. Step 3: Cross multiply
    260,946x = 565,062 × 565,062
  4. Step 4: Simplify right side
    260,946x = 319,295,063,844
  5. Step 5: Solve for x
    x = 319,295,063,844/260,946
  6. Step 6: Final answer
    x = 1,223,605.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.