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Finding the Third Proportional to 564,896 and 790,124

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Solution

The third proportional to 564,896 and 790,124 is: 1,105,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,896 : 790,124 = 790,124 : x
  2. Step 2: Convert to fraction form
    564,896/790,124 = 790,124/x
  3. Step 3: Cross multiply
    564,896x = 790,124 × 790,124
  4. Step 4: Simplify right side
    564,896x = 624,295,935,376
  5. Step 5: Solve for x
    x = 624,295,935,376/564,896
  6. Step 6: Final answer
    x = 1,105,151.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.