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Finding the Third Proportional to 284,088.66 and 613,242.42

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Solution

The third proportional to 284,088.66 and 613,242.42 is: 1,323,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,088.66 : 613,242.42 = 613,242.42 : x
  2. Step 2: Convert to fraction form
    284,088.66/613,242.42 = 613,242.42/x
  3. Step 3: Cross multiply
    284,088.66x = 613,242.42 × 613,242.42
  4. Step 4: Simplify right side
    284,088.66x = 376,066,267,987.12
  5. Step 5: Solve for x
    x = 376,066,267,987.12/284,088.66
  6. Step 6: Final answer
    x = 1,323,763.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.