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Finding the Third Proportional to 341,592 and 510,507

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Solution

The third proportional to 341,592 and 510,507 is: 762,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,592 : 510,507 = 510,507 : x
  2. Step 2: Convert to fraction form
    341,592/510,507 = 510,507/x
  3. Step 3: Cross multiply
    341,592x = 510,507 × 510,507
  4. Step 4: Simplify right side
    341,592x = 260,617,397,049
  5. Step 5: Solve for x
    x = 260,617,397,049/341,592
  6. Step 6: Final answer
    x = 762,949.36

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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.