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Finding the Third Proportional to 683,249.50 and 1,495,208

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Solution

The third proportional to 683,249.50 and 1,495,208 is: 3,272,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,249.50 : 1,495,208 = 1,495,208 : x
  2. Step 2: Convert to fraction form
    683,249.50/1,495,208 = 1,495,208/x
  3. Step 3: Cross multiply
    683,249.50x = 1,495,208 × 1,495,208
  4. Step 4: Simplify right side
    683,249.50x = 2,235,646,963,264
  5. Step 5: Solve for x
    x = 2,235,646,963,264/683,249.50
  6. Step 6: Final answer
    x = 3,272,079.91

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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.