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Finding the Third Proportional to 564,699 and 804,961

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Solution

The third proportional to 564,699 and 804,961 is: 1,147,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,699 : 804,961 = 804,961 : x
  2. Step 2: Convert to fraction form
    564,699/804,961 = 804,961/x
  3. Step 3: Cross multiply
    564,699x = 804,961 × 804,961
  4. Step 4: Simplify right side
    564,699x = 647,962,211,521
  5. Step 5: Solve for x
    x = 647,962,211,521/564,699
  6. Step 6: Final answer
    x = 1,147,447.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.