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Finding the Third Proportional to 284,592 and 427,644

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Solution

The third proportional to 284,592 and 427,644 is: 642,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,592 : 427,644 = 427,644 : x
  2. Step 2: Convert to fraction form
    284,592/427,644 = 427,644/x
  3. Step 3: Cross multiply
    284,592x = 427,644 × 427,644
  4. Step 4: Simplify right side
    284,592x = 182,879,390,736
  5. Step 5: Solve for x
    x = 182,879,390,736/284,592
  6. Step 6: Final answer
    x = 642,602.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.