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Finding the Third Proportional to 261,004 and 559,904

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Solution

The third proportional to 261,004 and 559,904 is: 1,201,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,004 : 559,904 = 559,904 : x
  2. Step 2: Convert to fraction form
    261,004/559,904 = 559,904/x
  3. Step 3: Cross multiply
    261,004x = 559,904 × 559,904
  4. Step 4: Simplify right side
    261,004x = 313,492,489,216
  5. Step 5: Solve for x
    x = 313,492,489,216/261,004
  6. Step 6: Final answer
    x = 1,201,102.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.