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Finding the Third Proportional to 526,525.50 and 1,026,807

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Solution

The third proportional to 526,525.50 and 1,026,807 is: 2,002,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,525.50 : 1,026,807 = 1,026,807 : x
  2. Step 2: Convert to fraction form
    526,525.50/1,026,807 = 1,026,807/x
  3. Step 3: Cross multiply
    526,525.50x = 1,026,807 × 1,026,807
  4. Step 4: Simplify right side
    526,525.50x = 1,054,332,615,249
  5. Step 5: Solve for x
    x = 1,054,332,615,249/526,525.50
  6. Step 6: Final answer
    x = 2,002,434.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.