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Finding the Third Proportional to 261,844 and 574,664

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Solution

The third proportional to 261,844 and 574,664 is: 1,261,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,844 : 574,664 = 574,664 : x
  2. Step 2: Convert to fraction form
    261,844/574,664 = 574,664/x
  3. Step 3: Cross multiply
    261,844x = 574,664 × 574,664
  4. Step 4: Simplify right side
    261,844x = 330,238,712,896
  5. Step 5: Solve for x
    x = 330,238,712,896/261,844
  6. Step 6: Final answer
    x = 1,261,204.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.