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Finding the Third Proportional to 657,616.50 and 990,769.50

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Solution

The third proportional to 657,616.50 and 990,769.50 is: 1,492,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,616.50 : 990,769.50 = 990,769.50 : x
  2. Step 2: Convert to fraction form
    657,616.50/990,769.50 = 990,769.50/x
  3. Step 3: Cross multiply
    657,616.50x = 990,769.50 × 990,769.50
  4. Step 4: Simplify right side
    657,616.50x = 981,624,202,130.25
  5. Step 5: Solve for x
    x = 981,624,202,130.25/657,616.50
  6. Step 6: Final answer
    x = 1,492,700.08

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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.