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Finding the Third Proportional to 342,069.75 and 536,603.25

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Solution

The third proportional to 342,069.75 and 536,603.25 is: 841,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,069.75 : 536,603.25 = 536,603.25 : x
  2. Step 2: Convert to fraction form
    342,069.75/536,603.25 = 536,603.25/x
  3. Step 3: Cross multiply
    342,069.75x = 536,603.25 × 536,603.25
  4. Step 4: Simplify right side
    342,069.75x = 287,943,047,910.56
  5. Step 5: Solve for x
    x = 287,943,047,910.56/342,069.75
  6. Step 6: Final answer
    x = 841,767.06

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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.