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Finding the Third Proportional to 338,284 and 743,527

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Solution

The third proportional to 338,284 and 743,527 is: 1,634,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,284 : 743,527 = 743,527 : x
  2. Step 2: Convert to fraction form
    338,284/743,527 = 743,527/x
  3. Step 3: Cross multiply
    338,284x = 743,527 × 743,527
  4. Step 4: Simplify right side
    338,284x = 552,832,399,729
  5. Step 5: Solve for x
    x = 552,832,399,729/338,284
  6. Step 6: Final answer
    x = 1,634,225.68

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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.