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Finding the Third Proportional to 476,509.50 and 1,046,331

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Solution

The third proportional to 476,509.50 and 1,046,331 is: 2,297,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,509.50 : 1,046,331 = 1,046,331 : x
  2. Step 2: Convert to fraction form
    476,509.50/1,046,331 = 1,046,331/x
  3. Step 3: Cross multiply
    476,509.50x = 1,046,331 × 1,046,331
  4. Step 4: Simplify right side
    476,509.50x = 1,094,808,561,561
  5. Step 5: Solve for x
    x = 1,094,808,561,561/476,509.50
  6. Step 6: Final answer
    x = 2,297,558.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.