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Finding the Third Proportional to 562,255.88 and 822,296.06

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Solution

The third proportional to 562,255.88 and 822,296.06 is: 1,202,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,255.88 : 822,296.06 = 822,296.06 : x
  2. Step 2: Convert to fraction form
    562,255.88/822,296.06 = 822,296.06/x
  3. Step 3: Cross multiply
    562,255.88x = 822,296.06 × 822,296.06
  4. Step 4: Simplify right side
    562,255.88x = 676,170,814,403.00
  5. Step 5: Solve for x
    x = 676,170,814,403.00/562,255.88
  6. Step 6: Final answer
    x = 1,202,603.38

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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.