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Finding the Third Proportional to 342,051.75 and 536,566.50

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Solution

The third proportional to 342,051.75 and 536,566.50 is: 841,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,051.75 : 536,566.50 = 536,566.50 : x
  2. Step 2: Convert to fraction form
    342,051.75/536,566.50 = 536,566.50/x
  3. Step 3: Cross multiply
    342,051.75x = 536,566.50 × 536,566.50
  4. Step 4: Simplify right side
    342,051.75x = 287,903,608,922.25
  5. Step 5: Solve for x
    x = 287,903,608,922.25/342,051.75
  6. Step 6: Final answer
    x = 841,696.06

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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.