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Finding the Third Proportional to 296,306 and 638,944

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Solution

The third proportional to 296,306 and 638,944 is: 1,377,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,306 : 638,944 = 638,944 : x
  2. Step 2: Convert to fraction form
    296,306/638,944 = 638,944/x
  3. Step 3: Cross multiply
    296,306x = 638,944 × 638,944
  4. Step 4: Simplify right side
    296,306x = 408,249,435,136
  5. Step 5: Solve for x
    x = 408,249,435,136/296,306
  6. Step 6: Final answer
    x = 1,377,796.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.