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Finding the Third Proportional to 228,919 and 495,972.50

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Solution

The third proportional to 228,919 and 495,972.50 is: 1,074,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,919 : 495,972.50 = 495,972.50 : x
  2. Step 2: Convert to fraction form
    228,919/495,972.50 = 495,972.50/x
  3. Step 3: Cross multiply
    228,919x = 495,972.50 × 495,972.50
  4. Step 4: Simplify right side
    228,919x = 245,988,720,756.25
  5. Step 5: Solve for x
    x = 245,988,720,756.25/228,919
  6. Step 6: Final answer
    x = 1,074,566.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.