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Finding the Third Proportional to 220,762.13 and 476,803.13

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Solution

The third proportional to 220,762.13 and 476,803.13 is: 1,029,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,762.13 : 476,803.13 = 476,803.13 : x
  2. Step 2: Convert to fraction form
    220,762.13/476,803.13 = 476,803.13/x
  3. Step 3: Cross multiply
    220,762.13x = 476,803.13 × 476,803.13
  4. Step 4: Simplify right side
    220,762.13x = 227,341,220,009.77
  5. Step 5: Solve for x
    x = 227,341,220,009.77/220,762.13
  6. Step 6: Final answer
    x = 1,029,801.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.