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Finding the Third Proportional to 367,048 and 808,598

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Solution

The third proportional to 367,048 and 808,598 is: 1,781,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,048 : 808,598 = 808,598 : x
  2. Step 2: Convert to fraction form
    367,048/808,598 = 808,598/x
  3. Step 3: Cross multiply
    367,048x = 808,598 × 808,598
  4. Step 4: Simplify right side
    367,048x = 653,830,725,604
  5. Step 5: Solve for x
    x = 653,830,725,604/367,048
  6. Step 6: Final answer
    x = 1,781,322.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.