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Finding the Third Proportional to 552,784.50 and 811,046.25

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Solution

The third proportional to 552,784.50 and 811,046.25 is: 1,189,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,784.50 : 811,046.25 = 811,046.25 : x
  2. Step 2: Convert to fraction form
    552,784.50/811,046.25 = 811,046.25/x
  3. Step 3: Cross multiply
    552,784.50x = 811,046.25 × 811,046.25
  4. Step 4: Simplify right side
    552,784.50x = 657,796,019,639.06
  5. Step 5: Solve for x
    x = 657,796,019,639.06/552,784.50
  6. Step 6: Final answer
    x = 1,189,968.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.