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Finding the Third Proportional to 354,457 and 777,811

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Solution

The third proportional to 354,457 and 777,811 is: 1,706,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,457 : 777,811 = 777,811 : x
  2. Step 2: Convert to fraction form
    354,457/777,811 = 777,811/x
  3. Step 3: Cross multiply
    354,457x = 777,811 × 777,811
  4. Step 4: Simplify right side
    354,457x = 604,989,951,721
  5. Step 5: Solve for x
    x = 604,989,951,721/354,457
  6. Step 6: Final answer
    x = 1,706,807.74

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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.