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Finding the Third Proportional to 209,442.38 and 452,094.75

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Solution

The third proportional to 209,442.38 and 452,094.75 is: 975,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,442.38 : 452,094.75 = 452,094.75 : x
  2. Step 2: Convert to fraction form
    209,442.38/452,094.75 = 452,094.75/x
  3. Step 3: Cross multiply
    209,442.38x = 452,094.75 × 452,094.75
  4. Step 4: Simplify right side
    209,442.38x = 204,389,662,977.56
  5. Step 5: Solve for x
    x = 204,389,662,977.56/209,442.38
  6. Step 6: Final answer
    x = 975,875.41

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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.