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Finding the Third Proportional to 219,264.75 and 495,244.13

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Solution

The third proportional to 219,264.75 and 495,244.13 is: 1,118,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,264.75 : 495,244.13 = 495,244.13 : x
  2. Step 2: Convert to fraction form
    219,264.75/495,244.13 = 495,244.13/x
  3. Step 3: Cross multiply
    219,264.75x = 495,244.13 × 495,244.13
  4. Step 4: Simplify right side
    219,264.75x = 245,266,743,347.02
  5. Step 5: Solve for x
    x = 245,266,743,347.02/219,264.75
  6. Step 6: Final answer
    x = 1,118,587.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.