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Finding the Third Proportional to 369,954 and 553,914

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Solution

The third proportional to 369,954 and 553,914 is: 829,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,954 : 553,914 = 553,914 : x
  2. Step 2: Convert to fraction form
    369,954/553,914 = 553,914/x
  3. Step 3: Cross multiply
    369,954x = 553,914 × 553,914
  4. Step 4: Simplify right side
    369,954x = 306,820,719,396
  5. Step 5: Solve for x
    x = 306,820,719,396/369,954
  6. Step 6: Final answer
    x = 829,348.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.