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Finding the Third Proportional to 342,967.50 and 738,611.81

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Solution

The third proportional to 342,967.50 and 738,611.81 is: 1,590,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,967.50 : 738,611.81 = 738,611.81 : x
  2. Step 2: Convert to fraction form
    342,967.50/738,611.81 = 738,611.81/x
  3. Step 3: Cross multiply
    342,967.50x = 738,611.81 × 738,611.81
  4. Step 4: Simplify right side
    342,967.50x = 545,547,409,564.54
  5. Step 5: Solve for x
    x = 545,547,409,564.54/342,967.50
  6. Step 6: Final answer
    x = 1,590,667.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.