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Finding the Third Proportional to 210,312.94 and 462,679.97

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Solution

The third proportional to 210,312.94 and 462,679.97 is: 1,017,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,312.94 : 462,679.97 = 462,679.97 : x
  2. Step 2: Convert to fraction form
    210,312.94/462,679.97 = 462,679.97/x
  3. Step 3: Cross multiply
    210,312.94x = 462,679.97 × 462,679.97
  4. Step 4: Simplify right side
    210,312.94x = 214,072,753,482.50
  5. Step 5: Solve for x
    x = 214,072,753,482.50/210,312.94
  6. Step 6: Final answer
    x = 1,017,877.25

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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.