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Finding the Third Proportional to 354,450 and 777,790.13

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Solution

The third proportional to 354,450 and 777,790.13 is: 1,706,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,450 : 777,790.13 = 777,790.13 : x
  2. Step 2: Convert to fraction form
    354,450/777,790.13 = 777,790.13/x
  3. Step 3: Cross multiply
    354,450x = 777,790.13 × 777,790.13
  4. Step 4: Simplify right side
    354,450x = 604,957,478,547.52
  5. Step 5: Solve for x
    x = 604,957,478,547.52/354,450
  6. Step 6: Final answer
    x = 1,706,749.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.