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Finding the Third Proportional to 368,415 and 550,341

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Solution

The third proportional to 368,415 and 550,341 is: 822,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,415 : 550,341 = 550,341 : x
  2. Step 2: Convert to fraction form
    368,415/550,341 = 550,341/x
  3. Step 3: Cross multiply
    368,415x = 550,341 × 550,341
  4. Step 4: Simplify right side
    368,415x = 302,875,216,281
  5. Step 5: Solve for x
    x = 302,875,216,281/368,415
  6. Step 6: Final answer
    x = 822,103.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.