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Finding the Third Proportional to 514,832 and 778,899

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Solution

The third proportional to 514,832 and 778,899 is: 1,178,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,832 : 778,899 = 778,899 : x
  2. Step 2: Convert to fraction form
    514,832/778,899 = 778,899/x
  3. Step 3: Cross multiply
    514,832x = 778,899 × 778,899
  4. Step 4: Simplify right side
    514,832x = 606,683,652,201
  5. Step 5: Solve for x
    x = 606,683,652,201/514,832
  6. Step 6: Final answer
    x = 1,178,410.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.