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Finding the Third Proportional to 297,343 and 452,985

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Solution

The third proportional to 297,343 and 452,985 is: 690,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,343 : 452,985 = 452,985 : x
  2. Step 2: Convert to fraction form
    297,343/452,985 = 452,985/x
  3. Step 3: Cross multiply
    297,343x = 452,985 × 452,985
  4. Step 4: Simplify right side
    297,343x = 205,195,410,225
  5. Step 5: Solve for x
    x = 205,195,410,225/297,343
  6. Step 6: Final answer
    x = 690,096.66

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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.