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Finding the Third Proportional to 242,808 and 495,246

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Solution

The third proportional to 242,808 and 495,246 is: 1,010,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,808 : 495,246 = 495,246 : x
  2. Step 2: Convert to fraction form
    242,808/495,246 = 495,246/x
  3. Step 3: Cross multiply
    242,808x = 495,246 × 495,246
  4. Step 4: Simplify right side
    242,808x = 245,268,600,516
  5. Step 5: Solve for x
    x = 245,268,600,516/242,808
  6. Step 6: Final answer
    x = 1,010,133.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.