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Finding the Third Proportional to 701,253 and 1,514,650.50

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Solution

The third proportional to 701,253 and 1,514,650.50 is: 3,271,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,253 : 1,514,650.50 = 1,514,650.50 : x
  2. Step 2: Convert to fraction form
    701,253/1,514,650.50 = 1,514,650.50/x
  3. Step 3: Cross multiply
    701,253x = 1,514,650.50 × 1,514,650.50
  4. Step 4: Simplify right side
    701,253x = 2,294,166,137,150.25
  5. Step 5: Solve for x
    x = 2,294,166,137,150.25/701,253
  6. Step 6: Final answer
    x = 3,271,524.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.