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Finding the Third Proportional to 706,516.50 and 1,530,321

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Solution

The third proportional to 706,516.50 and 1,530,321 is: 3,314,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,516.50 : 1,530,321 = 1,530,321 : x
  2. Step 2: Convert to fraction form
    706,516.50/1,530,321 = 1,530,321/x
  3. Step 3: Cross multiply
    706,516.50x = 1,530,321 × 1,530,321
  4. Step 4: Simplify right side
    706,516.50x = 2,341,882,363,041
  5. Step 5: Solve for x
    x = 2,341,882,363,041/706,516.50
  6. Step 6: Final answer
    x = 3,314,688.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.