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Finding the Third Proportional to 284,656.50 and 613,297

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Solution

The third proportional to 284,656.50 and 613,297 is: 1,321,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,656.50 : 613,297 = 613,297 : x
  2. Step 2: Convert to fraction form
    284,656.50/613,297 = 613,297/x
  3. Step 3: Cross multiply
    284,656.50x = 613,297 × 613,297
  4. Step 4: Simplify right side
    284,656.50x = 376,133,210,209
  5. Step 5: Solve for x
    x = 376,133,210,209/284,656.50
  6. Step 6: Final answer
    x = 1,321,358.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.