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Finding the Third Proportional to 341,591.06 and 510,504.19

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Solution

The third proportional to 341,591.06 and 510,504.19 is: 762,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,591.06 : 510,504.19 = 510,504.19 : x
  2. Step 2: Convert to fraction form
    341,591.06/510,504.19 = 510,504.19/x
  3. Step 3: Cross multiply
    341,591.06x = 510,504.19 × 510,504.19
  4. Step 4: Simplify right side
    341,591.06x = 260,614,525,455.04
  5. Step 5: Solve for x
    x = 260,614,525,455.04/341,591.06
  6. Step 6: Final answer
    x = 762,943.05

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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.