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Finding the Third Proportional to 240,208.50 and 556,023

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Solution

The third proportional to 240,208.50 and 556,023 is: 1,287,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,208.50 : 556,023 = 556,023 : x
  2. Step 2: Convert to fraction form
    240,208.50/556,023 = 556,023/x
  3. Step 3: Cross multiply
    240,208.50x = 556,023 × 556,023
  4. Step 4: Simplify right side
    240,208.50x = 309,161,576,529
  5. Step 5: Solve for x
    x = 309,161,576,529/240,208.50
  6. Step 6: Final answer
    x = 1,287,055.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.