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Finding the Third Proportional to 564,685 and 804,940

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Solution

The third proportional to 564,685 and 804,940 is: 1,147,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,685 : 804,940 = 804,940 : x
  2. Step 2: Convert to fraction form
    564,685/804,940 = 804,940/x
  3. Step 3: Cross multiply
    564,685x = 804,940 × 804,940
  4. Step 4: Simplify right side
    564,685x = 647,928,403,600
  5. Step 5: Solve for x
    x = 647,928,403,600/564,685
  6. Step 6: Final answer
    x = 1,147,415.65

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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.