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Finding the Third Proportional to 369,938 and 553,894

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Solution

The third proportional to 369,938 and 553,894 is: 829,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,938 : 553,894 = 553,894 : x
  2. Step 2: Convert to fraction form
    369,938/553,894 = 553,894/x
  3. Step 3: Cross multiply
    369,938x = 553,894 × 553,894
  4. Step 4: Simplify right side
    369,938x = 306,798,563,236
  5. Step 5: Solve for x
    x = 306,798,563,236/369,938
  6. Step 6: Final answer
    x = 829,324.27

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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.