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Finding the Third Proportional to 661,355.25 and 989,461.75

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Solution

The third proportional to 661,355.25 and 989,461.75 is: 1,480,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,355.25 : 989,461.75 = 989,461.75 : x
  2. Step 2: Convert to fraction form
    661,355.25/989,461.75 = 989,461.75/x
  3. Step 3: Cross multiply
    661,355.25x = 989,461.75 × 989,461.75
  4. Step 4: Simplify right side
    661,355.25x = 979,034,554,713.06
  5. Step 5: Solve for x
    x = 979,034,554,713.06/661,355.25
  6. Step 6: Final answer
    x = 1,480,345.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.