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Finding the Third Proportional to 284,208.75 and 607,803.75

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Solution

The third proportional to 284,208.75 and 607,803.75 is: 1,299,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,208.75 : 607,803.75 = 607,803.75 : x
  2. Step 2: Convert to fraction form
    284,208.75/607,803.75 = 607,803.75/x
  3. Step 3: Cross multiply
    284,208.75x = 607,803.75 × 607,803.75
  4. Step 4: Simplify right side
    284,208.75x = 369,425,398,514.06
  5. Step 5: Solve for x
    x = 369,425,398,514.06/284,208.75
  6. Step 6: Final answer
    x = 1,299,838.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.