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Finding the Third Proportional to 292,329 and 437,319

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Solution

The third proportional to 292,329 and 437,319 is: 654,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,329 : 437,319 = 437,319 : x
  2. Step 2: Convert to fraction form
    292,329/437,319 = 437,319/x
  3. Step 3: Cross multiply
    292,329x = 437,319 × 437,319
  4. Step 4: Simplify right side
    292,329x = 191,247,907,761
  5. Step 5: Solve for x
    x = 191,247,907,761/292,329
  6. Step 6: Final answer
    x = 654,221.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.