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Finding the Third Proportional to 292,340 and 437,338

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Solution

The third proportional to 292,340 and 437,338 is: 654,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,340 : 437,338 = 437,338 : x
  2. Step 2: Convert to fraction form
    292,340/437,338 = 437,338/x
  3. Step 3: Cross multiply
    292,340x = 437,338 × 437,338
  4. Step 4: Simplify right side
    292,340x = 191,264,526,244
  5. Step 5: Solve for x
    x = 191,264,526,244/292,340
  6. Step 6: Final answer
    x = 654,253.70

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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.