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Finding the Third Proportional to 368,402 and 550,329

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Solution

The third proportional to 368,402 and 550,329 is: 822,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,402 : 550,329 = 550,329 : x
  2. Step 2: Convert to fraction form
    368,402/550,329 = 550,329/x
  3. Step 3: Cross multiply
    368,402x = 550,329 × 550,329
  4. Step 4: Simplify right side
    368,402x = 302,862,008,241
  5. Step 5: Solve for x
    x = 302,862,008,241/368,402
  6. Step 6: Final answer
    x = 822,096.54

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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.