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Finding the Third Proportional to 297,320.94 and 452,952.47

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Solution

The third proportional to 297,320.94 and 452,952.47 is: 690,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,320.94 : 452,952.47 = 452,952.47 : x
  2. Step 2: Convert to fraction form
    297,320.94/452,952.47 = 452,952.47/x
  3. Step 3: Cross multiply
    297,320.94x = 452,952.47 × 452,952.47
  4. Step 4: Simplify right side
    297,320.94x = 205,165,944,254.76
  5. Step 5: Solve for x
    x = 205,165,944,254.76/297,320.94
  6. Step 6: Final answer
    x = 690,048.75

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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.