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Finding the Third Proportional to 301,434 and 409,386

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Solution

The third proportional to 301,434 and 409,386 is: 555,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,434 : 409,386 = 409,386 : x
  2. Step 2: Convert to fraction form
    301,434/409,386 = 409,386/x
  3. Step 3: Cross multiply
    301,434x = 409,386 × 409,386
  4. Step 4: Simplify right side
    301,434x = 167,596,896,996
  5. Step 5: Solve for x
    x = 167,596,896,996/301,434
  6. Step 6: Final answer
    x = 555,998.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.