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Finding the Third Proportional to 240,948.50 and 509,023

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Solution

The third proportional to 240,948.50 and 509,023 is: 1,075,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,948.50 : 509,023 = 509,023 : x
  2. Step 2: Convert to fraction form
    240,948.50/509,023 = 509,023/x
  3. Step 3: Cross multiply
    240,948.50x = 509,023 × 509,023
  4. Step 4: Simplify right side
    240,948.50x = 259,104,414,529
  5. Step 5: Solve for x
    x = 259,104,414,529/240,948.50
  6. Step 6: Final answer
    x = 1,075,351.85

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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.