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Finding the Third Proportional to 605,263.50 and 910,507.50

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Solution

The third proportional to 605,263.50 and 910,507.50 is: 1,369,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,263.50 : 910,507.50 = 910,507.50 : x
  2. Step 2: Convert to fraction form
    605,263.50/910,507.50 = 910,507.50/x
  3. Step 3: Cross multiply
    605,263.50x = 910,507.50 × 910,507.50
  4. Step 4: Simplify right side
    605,263.50x = 829,023,907,556.25
  5. Step 5: Solve for x
    x = 829,023,907,556.25/605,263.50
  6. Step 6: Final answer
    x = 1,369,690.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.