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Finding the Third Proportional to 209,434.75 and 452,085.50

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Solution

The third proportional to 209,434.75 and 452,085.50 is: 975,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,434.75 : 452,085.50 = 452,085.50 : x
  2. Step 2: Convert to fraction form
    209,434.75/452,085.50 = 452,085.50/x
  3. Step 3: Cross multiply
    209,434.75x = 452,085.50 × 452,085.50
  4. Step 4: Simplify right side
    209,434.75x = 204,381,299,310.25
  5. Step 5: Solve for x
    x = 204,381,299,310.25/209,434.75
  6. Step 6: Final answer
    x = 975,871.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.