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Finding the Third Proportional to 240,747 and 508,351.50

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Solution

The third proportional to 240,747 and 508,351.50 is: 1,073,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,747 : 508,351.50 = 508,351.50 : x
  2. Step 2: Convert to fraction form
    240,747/508,351.50 = 508,351.50/x
  3. Step 3: Cross multiply
    240,747x = 508,351.50 × 508,351.50
  4. Step 4: Simplify right side
    240,747x = 258,421,247,552.25
  5. Step 5: Solve for x
    x = 258,421,247,552.25/240,747
  6. Step 6: Final answer
    x = 1,073,414.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.