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Finding the Third Proportional to 335,552 and 507,648

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Solution

The third proportional to 335,552 and 507,648 is: 768,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,552 : 507,648 = 507,648 : x
  2. Step 2: Convert to fraction form
    335,552/507,648 = 507,648/x
  3. Step 3: Cross multiply
    335,552x = 507,648 × 507,648
  4. Step 4: Simplify right side
    335,552x = 257,706,491,904
  5. Step 5: Solve for x
    x = 257,706,491,904/335,552
  6. Step 6: Final answer
    x = 768,007.62

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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.