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Finding the Third Proportional to 574,388 and 804,909

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Solution

The third proportional to 574,388 and 804,909 is: 1,127,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,388 : 804,909 = 804,909 : x
  2. Step 2: Convert to fraction form
    574,388/804,909 = 804,909/x
  3. Step 3: Cross multiply
    574,388x = 804,909 × 804,909
  4. Step 4: Simplify right side
    574,388x = 647,878,498,281
  5. Step 5: Solve for x
    x = 647,878,498,281/574,388
  6. Step 6: Final answer
    x = 1,127,945.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.