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Finding the Third Proportional to 341,595 and 510,509

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Solution

The third proportional to 341,595 and 510,509 is: 762,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,595 : 510,509 = 510,509 : x
  2. Step 2: Convert to fraction form
    341,595/510,509 = 510,509/x
  3. Step 3: Cross multiply
    341,595x = 510,509 × 510,509
  4. Step 4: Simplify right side
    341,595x = 260,619,439,081
  5. Step 5: Solve for x
    x = 260,619,439,081/341,595
  6. Step 6: Final answer
    x = 762,948.64

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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.