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Finding the Third Proportional to 657,619.50 and 990,774

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Solution

The third proportional to 657,619.50 and 990,774 is: 1,492,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,619.50 : 990,774 = 990,774 : x
  2. Step 2: Convert to fraction form
    657,619.50/990,774 = 990,774/x
  3. Step 3: Cross multiply
    657,619.50x = 990,774 × 990,774
  4. Step 4: Simplify right side
    657,619.50x = 981,633,119,076
  5. Step 5: Solve for x
    x = 981,633,119,076/657,619.50
  6. Step 6: Final answer
    x = 1,492,706.83

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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.