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Finding the Third Proportional to 257,752 and 567,828

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Solution

The third proportional to 257,752 and 567,828 is: 1,250,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,752 : 567,828 = 567,828 : x
  2. Step 2: Convert to fraction form
    257,752/567,828 = 567,828/x
  3. Step 3: Cross multiply
    257,752x = 567,828 × 567,828
  4. Step 4: Simplify right side
    257,752x = 322,428,637,584
  5. Step 5: Solve for x
    x = 322,428,637,584/257,752
  6. Step 6: Final answer
    x = 1,250,925.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.