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Finding the Third Proportional to 210,360.63 and 462,777.13

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Solution

The third proportional to 210,360.63 and 462,777.13 is: 1,018,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,360.63 : 462,777.13 = 462,777.13 : x
  2. Step 2: Convert to fraction form
    210,360.63/462,777.13 = 462,777.13/x
  3. Step 3: Cross multiply
    210,360.63x = 462,777.13 × 462,777.13
  4. Step 4: Simplify right side
    210,360.63x = 214,162,667,423.27
  5. Step 5: Solve for x
    x = 214,162,667,423.27/210,360.63
  6. Step 6: Final answer
    x = 1,018,073.93

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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.