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Finding the Third Proportional to 564,695 and 804,955

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Solution

The third proportional to 564,695 and 804,955 is: 1,147,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,695 : 804,955 = 804,955 : x
  2. Step 2: Convert to fraction form
    564,695/804,955 = 804,955/x
  3. Step 3: Cross multiply
    564,695x = 804,955 × 804,955
  4. Step 4: Simplify right side
    564,695x = 647,952,552,025
  5. Step 5: Solve for x
    x = 647,952,552,025/564,695
  6. Step 6: Final answer
    x = 1,147,438.09

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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.