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Finding the Third Proportional to 522,878 and 807,807

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Solution

The third proportional to 522,878 and 807,807 is: 1,248,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,878 : 807,807 = 807,807 : x
  2. Step 2: Convert to fraction form
    522,878/807,807 = 807,807/x
  3. Step 3: Cross multiply
    522,878x = 807,807 × 807,807
  4. Step 4: Simplify right side
    522,878x = 652,552,149,249
  5. Step 5: Solve for x
    x = 652,552,149,249/522,878
  6. Step 6: Final answer
    x = 1,248,000.78

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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.