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Finding the Third Proportional to 337,062.83 and 725,507.35

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Solution

The third proportional to 337,062.83 and 725,507.35 is: 1,561,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,062.83 : 725,507.35 = 725,507.35 : x
  2. Step 2: Convert to fraction form
    337,062.83/725,507.35 = 725,507.35/x
  3. Step 3: Cross multiply
    337,062.83x = 725,507.35 × 725,507.35
  4. Step 4: Simplify right side
    337,062.83x = 526,360,914,337.23
  5. Step 5: Solve for x
    x = 526,360,914,337.23/337,062.83
  6. Step 6: Final answer
    x = 1,561,610.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.