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Finding the Third Proportional to 261,925 and 571,828

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Solution

The third proportional to 261,925 and 571,828 is: 1,248,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,925 : 571,828 = 571,828 : x
  2. Step 2: Convert to fraction form
    261,925/571,828 = 571,828/x
  3. Step 3: Cross multiply
    261,925x = 571,828 × 571,828
  4. Step 4: Simplify right side
    261,925x = 326,987,261,584
  5. Step 5: Solve for x
    x = 326,987,261,584/261,925
  6. Step 6: Final answer
    x = 1,248,400.35

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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.