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Finding the Third Proportional to 670,414.50 and 957,695.63

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Solution

The third proportional to 670,414.50 and 957,695.63 is: 1,368,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,414.50 : 957,695.63 = 957,695.63 : x
  2. Step 2: Convert to fraction form
    670,414.50/957,695.63 = 957,695.63/x
  3. Step 3: Cross multiply
    670,414.50x = 957,695.63 × 957,695.63
  4. Step 4: Simplify right side
    670,414.50x = 917,180,910,144.14
  5. Step 5: Solve for x
    x = 917,180,910,144.14/670,414.50
  6. Step 6: Final answer
    x = 1,368,080.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.