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Finding the Third Proportional to 240,210 and 556,026

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Solution

The third proportional to 240,210 and 556,026 is: 1,287,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,210 : 556,026 = 556,026 : x
  2. Step 2: Convert to fraction form
    240,210/556,026 = 556,026/x
  3. Step 3: Cross multiply
    240,210x = 556,026 × 556,026
  4. Step 4: Simplify right side
    240,210x = 309,164,912,676
  5. Step 5: Solve for x
    x = 309,164,912,676/240,210
  6. Step 6: Final answer
    x = 1,287,060.96

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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.