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Finding the Third Proportional to 564,701 and 804,964

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Solution

The third proportional to 564,701 and 804,964 is: 1,147,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,701 : 804,964 = 804,964 : x
  2. Step 2: Convert to fraction form
    564,701/804,964 = 804,964/x
  3. Step 3: Cross multiply
    564,701x = 804,964 × 804,964
  4. Step 4: Simplify right side
    564,701x = 647,967,041,296
  5. Step 5: Solve for x
    x = 647,967,041,296/564,701
  6. Step 6: Final answer
    x = 1,147,451.56

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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.