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Finding the Third Proportional to 605,137.50 and 822,271.50

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Solution

The third proportional to 605,137.50 and 822,271.50 is: 1,117,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,137.50 : 822,271.50 = 822,271.50 : x
  2. Step 2: Convert to fraction form
    605,137.50/822,271.50 = 822,271.50/x
  3. Step 3: Cross multiply
    605,137.50x = 822,271.50 × 822,271.50
  4. Step 4: Simplify right side
    605,137.50x = 676,130,419,712.25
  5. Step 5: Solve for x
    x = 676,130,419,712.25/605,137.50
  6. Step 6: Final answer
    x = 1,117,317.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.