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Finding the Third Proportional to 517,572 and 823,014

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Solution

The third proportional to 517,572 and 823,014 is: 1,308,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,572 : 823,014 = 823,014 : x
  2. Step 2: Convert to fraction form
    517,572/823,014 = 823,014/x
  3. Step 3: Cross multiply
    517,572x = 823,014 × 823,014
  4. Step 4: Simplify right side
    517,572x = 677,352,044,196
  5. Step 5: Solve for x
    x = 677,352,044,196/517,572
  6. Step 6: Final answer
    x = 1,308,710.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.