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Finding the Third Proportional to 658,276 and 996,648

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Solution

The third proportional to 658,276 and 996,648 is: 1,508,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,276 : 996,648 = 996,648 : x
  2. Step 2: Convert to fraction form
    658,276/996,648 = 996,648/x
  3. Step 3: Cross multiply
    658,276x = 996,648 × 996,648
  4. Step 4: Simplify right side
    658,276x = 993,307,235,904
  5. Step 5: Solve for x
    x = 993,307,235,904/658,276
  6. Step 6: Final answer
    x = 1,508,952.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.