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Finding the Third Proportional to 378,762 and 828,804

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Solution

The third proportional to 378,762 and 828,804 is: 1,813,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,762 : 828,804 = 828,804 : x
  2. Step 2: Convert to fraction form
    378,762/828,804 = 828,804/x
  3. Step 3: Cross multiply
    378,762x = 828,804 × 828,804
  4. Step 4: Simplify right side
    378,762x = 686,916,070,416
  5. Step 5: Solve for x
    x = 686,916,070,416/378,762
  6. Step 6: Final answer
    x = 1,813,582.33

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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.