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Finding the Third Proportional to 260,010 and 560,468

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Solution

The third proportional to 260,010 and 560,468 is: 1,208,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,010 : 560,468 = 560,468 : x
  2. Step 2: Convert to fraction form
    260,010/560,468 = 560,468/x
  3. Step 3: Cross multiply
    260,010x = 560,468 × 560,468
  4. Step 4: Simplify right side
    260,010x = 314,124,379,024
  5. Step 5: Solve for x
    x = 314,124,379,024/260,010
  6. Step 6: Final answer
    x = 1,208,124.22

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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.