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Finding the Third Proportional to 341,242.88 and 535,263.75

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Solution

The third proportional to 341,242.88 and 535,263.75 is: 839,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,242.88 : 535,263.75 = 535,263.75 : x
  2. Step 2: Convert to fraction form
    341,242.88/535,263.75 = 535,263.75/x
  3. Step 3: Cross multiply
    341,242.88x = 535,263.75 × 535,263.75
  4. Step 4: Simplify right side
    341,242.88x = 286,507,282,064.06
  5. Step 5: Solve for x
    x = 286,507,282,064.06/341,242.88
  6. Step 6: Final answer
    x = 839,599.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.