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Finding the Third Proportional to 301,382 and 413,254

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Solution

The third proportional to 301,382 and 413,254 is: 566,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,382 : 413,254 = 413,254 : x
  2. Step 2: Convert to fraction form
    301,382/413,254 = 413,254/x
  3. Step 3: Cross multiply
    301,382x = 413,254 × 413,254
  4. Step 4: Simplify right side
    301,382x = 170,778,868,516
  5. Step 5: Solve for x
    x = 170,778,868,516/301,382
  6. Step 6: Final answer
    x = 566,652.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.