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Finding the Third Proportional to 301,713 and 415,612.13

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Solution

The third proportional to 301,713 and 415,612.13 is: 572,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,713 : 415,612.13 = 415,612.13 : x
  2. Step 2: Convert to fraction form
    301,713/415,612.13 = 415,612.13/x
  3. Step 3: Cross multiply
    301,713x = 415,612.13 × 415,612.13
  4. Step 4: Simplify right side
    301,713x = 172,733,438,447.02
  5. Step 5: Solve for x
    x = 172,733,438,447.02/301,713
  6. Step 6: Final answer
    x = 572,509.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.