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Finding the Third Proportional to 292,190 and 633,916

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Solution

The third proportional to 292,190 and 633,916 is: 1,375,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,190 : 633,916 = 633,916 : x
  2. Step 2: Convert to fraction form
    292,190/633,916 = 633,916/x
  3. Step 3: Cross multiply
    292,190x = 633,916 × 633,916
  4. Step 4: Simplify right side
    292,190x = 401,849,495,056
  5. Step 5: Solve for x
    x = 401,849,495,056/292,190
  6. Step 6: Final answer
    x = 1,375,302.01

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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.