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Finding the Third Proportional to 446,826.75 and 625,041.75

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Solution

The third proportional to 446,826.75 and 625,041.75 is: 874,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,826.75 : 625,041.75 = 625,041.75 : x
  2. Step 2: Convert to fraction form
    446,826.75/625,041.75 = 625,041.75/x
  3. Step 3: Cross multiply
    446,826.75x = 625,041.75 × 625,041.75
  4. Step 4: Simplify right side
    446,826.75x = 390,677,189,243.06
  5. Step 5: Solve for x
    x = 390,677,189,243.06/446,826.75
  6. Step 6: Final answer
    x = 874,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.