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Finding the Third Proportional to 259,536 and 560,544

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Solution

The third proportional to 259,536 and 560,544 is: 1,210,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,536 : 560,544 = 560,544 : x
  2. Step 2: Convert to fraction form
    259,536/560,544 = 560,544/x
  3. Step 3: Cross multiply
    259,536x = 560,544 × 560,544
  4. Step 4: Simplify right side
    259,536x = 314,209,575,936
  5. Step 5: Solve for x
    x = 314,209,575,936/259,536
  6. Step 6: Final answer
    x = 1,210,658.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.