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Finding the Third Proportional to 261,522 and 559,008

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Solution

The third proportional to 261,522 and 559,008 is: 1,194,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,522 : 559,008 = 559,008 : x
  2. Step 2: Convert to fraction form
    261,522/559,008 = 559,008/x
  3. Step 3: Cross multiply
    261,522x = 559,008 × 559,008
  4. Step 4: Simplify right side
    261,522x = 312,489,944,064
  5. Step 5: Solve for x
    x = 312,489,944,064/261,522
  6. Step 6: Final answer
    x = 1,194,889.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.