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Finding the Third Proportional to 284,014 and 415,036

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Solution

The third proportional to 284,014 and 415,036 is: 606,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,014 : 415,036 = 415,036 : x
  2. Step 2: Convert to fraction form
    284,014/415,036 = 415,036/x
  3. Step 3: Cross multiply
    284,014x = 415,036 × 415,036
  4. Step 4: Simplify right side
    284,014x = 172,254,881,296
  5. Step 5: Solve for x
    x = 172,254,881,296/284,014
  6. Step 6: Final answer
    x = 606,501.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.