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Finding the Third Proportional to 296,046 and 451,440

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Solution

The third proportional to 296,046 and 451,440 is: 688,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,046 : 451,440 = 451,440 : x
  2. Step 2: Convert to fraction form
    296,046/451,440 = 451,440/x
  3. Step 3: Cross multiply
    296,046x = 451,440 × 451,440
  4. Step 4: Simplify right side
    296,046x = 203,798,073,600
  5. Step 5: Solve for x
    x = 203,798,073,600/296,046
  6. Step 6: Final answer
    x = 688,400.02

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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.