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Finding the Third Proportional to 564,197 and 824,674

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Solution

The third proportional to 564,197 and 824,674 is: 1,205,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,197 : 824,674 = 824,674 : x
  2. Step 2: Convert to fraction form
    564,197/824,674 = 824,674/x
  3. Step 3: Cross multiply
    564,197x = 824,674 × 824,674
  4. Step 4: Simplify right side
    564,197x = 680,087,206,276
  5. Step 5: Solve for x
    x = 680,087,206,276/564,197
  6. Step 6: Final answer
    x = 1,205,407.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.