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Finding the Third Proportional to 250,850 and 535,719

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Solution

The third proportional to 250,850 and 535,719 is: 1,144,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,850 : 535,719 = 535,719 : x
  2. Step 2: Convert to fraction form
    250,850/535,719 = 535,719/x
  3. Step 3: Cross multiply
    250,850x = 535,719 × 535,719
  4. Step 4: Simplify right side
    250,850x = 286,994,846,961
  5. Step 5: Solve for x
    x = 286,994,846,961/250,850
  6. Step 6: Final answer
    x = 1,144,089.48

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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.