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Finding the Third Proportional to 301,128 and 443,382

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Solution

The third proportional to 301,128 and 443,382 is: 652,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,128 : 443,382 = 443,382 : x
  2. Step 2: Convert to fraction form
    301,128/443,382 = 443,382/x
  3. Step 3: Cross multiply
    301,128x = 443,382 × 443,382
  4. Step 4: Simplify right side
    301,128x = 196,587,597,924
  5. Step 5: Solve for x
    x = 196,587,597,924/301,128
  6. Step 6: Final answer
    x = 652,837.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.