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Finding the Third Proportional to 226,521 and 495,643.50

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Solution

The third proportional to 226,521 and 495,643.50 is: 1,084,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,521 : 495,643.50 = 495,643.50 : x
  2. Step 2: Convert to fraction form
    226,521/495,643.50 = 495,643.50/x
  3. Step 3: Cross multiply
    226,521x = 495,643.50 × 495,643.50
  4. Step 4: Simplify right side
    226,521x = 245,662,479,092.25
  5. Step 5: Solve for x
    x = 245,662,479,092.25/226,521
  6. Step 6: Final answer
    x = 1,084,502.01

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