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Finding the Third Proportional to 284,550 and 604,146

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Solution

The third proportional to 284,550 and 604,146 is: 1,282,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,550 : 604,146 = 604,146 : x
  2. Step 2: Convert to fraction form
    284,550/604,146 = 604,146/x
  3. Step 3: Cross multiply
    284,550x = 604,146 × 604,146
  4. Step 4: Simplify right side
    284,550x = 364,992,389,316
  5. Step 5: Solve for x
    x = 364,992,389,316/284,550
  6. Step 6: Final answer
    x = 1,282,700.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.