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Finding the Third Proportional to 562,879.13 and 829,434.94

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Solution

The third proportional to 562,879.13 and 829,434.94 is: 1,222,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,879.13 : 829,434.94 = 829,434.94 : x
  2. Step 2: Convert to fraction form
    562,879.13/829,434.94 = 829,434.94/x
  3. Step 3: Cross multiply
    562,879.13x = 829,434.94 × 829,434.94
  4. Step 4: Simplify right side
    562,879.13x = 687,962,315,545.63
  5. Step 5: Solve for x
    x = 687,962,315,545.63/562,879.13
  6. Step 6: Final answer
    x = 1,222,220.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.