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Finding the Third Proportional to 605,074 and 805,004

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Solution

The third proportional to 605,074 and 805,004 is: 1,070,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,074 : 805,004 = 805,004 : x
  2. Step 2: Convert to fraction form
    605,074/805,004 = 805,004/x
  3. Step 3: Cross multiply
    605,074x = 805,004 × 805,004
  4. Step 4: Simplify right side
    605,074x = 648,031,440,016
  5. Step 5: Solve for x
    x = 648,031,440,016/605,074
  6. Step 6: Final answer
    x = 1,070,995.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.