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Finding the Third Proportional to 292,190 and 443,712

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Solution

The third proportional to 292,190 and 443,712 is: 673,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,190 : 443,712 = 443,712 : x
  2. Step 2: Convert to fraction form
    292,190/443,712 = 443,712/x
  3. Step 3: Cross multiply
    292,190x = 443,712 × 443,712
  4. Step 4: Simplify right side
    292,190x = 196,880,338,944
  5. Step 5: Solve for x
    x = 196,880,338,944/292,190
  6. Step 6: Final answer
    x = 673,809.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.