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Finding the Third Proportional to 253,280 and 553,216

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Solution

The third proportional to 253,280 and 553,216 is: 1,208,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,280 : 553,216 = 553,216 : x
  2. Step 2: Convert to fraction form
    253,280/553,216 = 553,216/x
  3. Step 3: Cross multiply
    253,280x = 553,216 × 553,216
  4. Step 4: Simplify right side
    253,280x = 306,047,942,656
  5. Step 5: Solve for x
    x = 306,047,942,656/253,280
  6. Step 6: Final answer
    x = 1,208,338.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.