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Finding the Third Proportional to 295,188 and 633,377

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Solution

The third proportional to 295,188 and 633,377 is: 1,359,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,188 : 633,377 = 633,377 : x
  2. Step 2: Convert to fraction form
    295,188/633,377 = 633,377/x
  3. Step 3: Cross multiply
    295,188x = 633,377 × 633,377
  4. Step 4: Simplify right side
    295,188x = 401,166,424,129
  5. Step 5: Solve for x
    x = 401,166,424,129/295,188
  6. Step 6: Final answer
    x = 1,359,020.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.