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Finding the Third Proportional to 297,535 and 453,272

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Solution

The third proportional to 297,535 and 453,272 is: 690,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,535 : 453,272 = 453,272 : x
  2. Step 2: Convert to fraction form
    297,535/453,272 = 453,272/x
  3. Step 3: Cross multiply
    297,535x = 453,272 × 453,272
  4. Step 4: Simplify right side
    297,535x = 205,455,505,984
  5. Step 5: Solve for x
    x = 205,455,505,984/297,535
  6. Step 6: Final answer
    x = 690,525.50

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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.