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Finding the Third Proportional to 255,510 and 560,592

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Solution

The third proportional to 255,510 and 560,592 is: 1,229,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,510 : 560,592 = 560,592 : x
  2. Step 2: Convert to fraction form
    255,510/560,592 = 560,592/x
  3. Step 3: Cross multiply
    255,510x = 560,592 × 560,592
  4. Step 4: Simplify right side
    255,510x = 314,263,390,464
  5. Step 5: Solve for x
    x = 314,263,390,464/255,510
  6. Step 6: Final answer
    x = 1,229,945.56

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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.