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Finding the Third Proportional to 565,962.75 and 804,664.13

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Solution

The third proportional to 565,962.75 and 804,664.13 is: 1,144,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,962.75 : 804,664.13 = 804,664.13 : x
  2. Step 2: Convert to fraction form
    565,962.75/804,664.13 = 804,664.13/x
  3. Step 3: Cross multiply
    565,962.75x = 804,664.13 × 804,664.13
  4. Step 4: Simplify right side
    565,962.75x = 647,484,354,062.02
  5. Step 5: Solve for x
    x = 647,484,354,062.02/565,962.75
  6. Step 6: Final answer
    x = 1,144,040.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.