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Finding the Third Proportional to 341,592 and 510,505

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Solution

The third proportional to 341,592 and 510,505 is: 762,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,592 : 510,505 = 510,505 : x
  2. Step 2: Convert to fraction form
    341,592/510,505 = 510,505/x
  3. Step 3: Cross multiply
    341,592x = 510,505 × 510,505
  4. Step 4: Simplify right side
    341,592x = 260,615,355,025
  5. Step 5: Solve for x
    x = 260,615,355,025/341,592
  6. Step 6: Final answer
    x = 762,943.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.