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Finding the Third Proportional to 522,876 and 807,804

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Solution

The third proportional to 522,876 and 807,804 is: 1,247,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,876 : 807,804 = 807,804 : x
  2. Step 2: Convert to fraction form
    522,876/807,804 = 807,804/x
  3. Step 3: Cross multiply
    522,876x = 807,804 × 807,804
  4. Step 4: Simplify right side
    522,876x = 652,547,302,416
  5. Step 5: Solve for x
    x = 652,547,302,416/522,876
  6. Step 6: Final answer
    x = 1,247,996.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.