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Finding the Third Proportional to 213,813.42 and 460,534.36

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Solution

The third proportional to 213,813.42 and 460,534.36 is: 991,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,813.42 : 460,534.36 = 460,534.36 : x
  2. Step 2: Convert to fraction form
    213,813.42/460,534.36 = 460,534.36/x
  3. Step 3: Cross multiply
    213,813.42x = 460,534.36 × 460,534.36
  4. Step 4: Simplify right side
    213,813.42x = 212,091,896,164.94
  5. Step 5: Solve for x
    x = 212,091,896,164.94/213,813.42
  6. Step 6: Final answer
    x = 991,948.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.