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Finding the Third Proportional to 369,767 and 553,180

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Solution

The third proportional to 369,767 and 553,180 is: 827,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,767 : 553,180 = 553,180 : x
  2. Step 2: Convert to fraction form
    369,767/553,180 = 553,180/x
  3. Step 3: Cross multiply
    369,767x = 553,180 × 553,180
  4. Step 4: Simplify right side
    369,767x = 306,008,112,400
  5. Step 5: Solve for x
    x = 306,008,112,400/369,767
  6. Step 6: Final answer
    x = 827,570.10

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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.