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Finding the Third Proportional to 657,148.50 and 994,491

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Solution

The third proportional to 657,148.50 and 994,491 is: 1,505,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,148.50 : 994,491 = 994,491 : x
  2. Step 2: Convert to fraction form
    657,148.50/994,491 = 994,491/x
  3. Step 3: Cross multiply
    657,148.50x = 994,491 × 994,491
  4. Step 4: Simplify right side
    657,148.50x = 989,012,349,081
  5. Step 5: Solve for x
    x = 989,012,349,081/657,148.50
  6. Step 6: Final answer
    x = 1,505,005.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.