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Finding the Third Proportional to 210,012.75 and 460,849.13

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Solution

The third proportional to 210,012.75 and 460,849.13 is: 1,011,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,012.75 : 460,849.13 = 460,849.13 : x
  2. Step 2: Convert to fraction form
    210,012.75/460,849.13 = 460,849.13/x
  3. Step 3: Cross multiply
    210,012.75x = 460,849.13 × 460,849.13
  4. Step 4: Simplify right side
    210,012.75x = 212,381,916,013.27
  5. Step 5: Solve for x
    x = 212,381,916,013.27/210,012.75
  6. Step 6: Final answer
    x = 1,011,281.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.