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Finding the Third Proportional to 509,223.50 and 1,116,376

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Solution

The third proportional to 509,223.50 and 1,116,376 is: 2,447,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,223.50 : 1,116,376 = 1,116,376 : x
  2. Step 2: Convert to fraction form
    509,223.50/1,116,376 = 1,116,376/x
  3. Step 3: Cross multiply
    509,223.50x = 1,116,376 × 1,116,376
  4. Step 4: Simplify right side
    509,223.50x = 1,246,295,373,376
  5. Step 5: Solve for x
    x = 1,246,295,373,376/509,223.50
  6. Step 6: Final answer
    x = 2,447,442.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.