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Finding the Third Proportional to 297,340.13 and 452,980.13

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Solution

The third proportional to 297,340.13 and 452,980.13 is: 690,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,340.13 : 452,980.13 = 452,980.13 : x
  2. Step 2: Convert to fraction form
    297,340.13/452,980.13 = 452,980.13/x
  3. Step 3: Cross multiply
    297,340.13x = 452,980.13 × 452,980.13
  4. Step 4: Simplify right side
    297,340.13x = 205,190,993,645.02
  5. Step 5: Solve for x
    x = 205,190,993,645.02/297,340.13
  6. Step 6: Final answer
    x = 690,088.48

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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.