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Finding the Third Proportional to 240,818 and 375,015

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Solution

The third proportional to 240,818 and 375,015 is: 583,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,818 : 375,015 = 375,015 : x
  2. Step 2: Convert to fraction form
    240,818/375,015 = 375,015/x
  3. Step 3: Cross multiply
    240,818x = 375,015 × 375,015
  4. Step 4: Simplify right side
    240,818x = 140,636,250,225
  5. Step 5: Solve for x
    x = 140,636,250,225/240,818
  6. Step 6: Final answer
    x = 583,993.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.