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Finding the Third Proportional to 240,788 and 569,430

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Solution

The third proportional to 240,788 and 569,430 is: 1,346,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,788 : 569,430 = 569,430 : x
  2. Step 2: Convert to fraction form
    240,788/569,430 = 569,430/x
  3. Step 3: Cross multiply
    240,788x = 569,430 × 569,430
  4. Step 4: Simplify right side
    240,788x = 324,250,524,900
  5. Step 5: Solve for x
    x = 324,250,524,900/240,788
  6. Step 6: Final answer
    x = 1,346,622.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.