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Finding the Third Proportional to 240,786 and 569,425.50

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Solution

The third proportional to 240,786 and 569,425.50 is: 1,346,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,786 : 569,425.50 = 569,425.50 : x
  2. Step 2: Convert to fraction form
    240,786/569,425.50 = 569,425.50/x
  3. Step 3: Cross multiply
    240,786x = 569,425.50 × 569,425.50
  4. Step 4: Simplify right side
    240,786x = 324,245,400,050.25
  5. Step 5: Solve for x
    x = 324,245,400,050.25/240,786
  6. Step 6: Final answer
    x = 1,346,612.34

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