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Finding the Third Proportional to 261,696 and 571,008

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Solution

The third proportional to 261,696 and 571,008 is: 1,245,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,696 : 571,008 = 571,008 : x
  2. Step 2: Convert to fraction form
    261,696/571,008 = 571,008/x
  3. Step 3: Cross multiply
    261,696x = 571,008 × 571,008
  4. Step 4: Simplify right side
    261,696x = 326,050,136,064
  5. Step 5: Solve for x
    x = 326,050,136,064/261,696
  6. Step 6: Final answer
    x = 1,245,911.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.