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Finding the Third Proportional to 295,286.50 and 458,097

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Solution

The third proportional to 295,286.50 and 458,097 is: 710,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,286.50 : 458,097 = 458,097 : x
  2. Step 2: Convert to fraction form
    295,286.50/458,097 = 458,097/x
  3. Step 3: Cross multiply
    295,286.50x = 458,097 × 458,097
  4. Step 4: Simplify right side
    295,286.50x = 209,852,861,409
  5. Step 5: Solve for x
    x = 209,852,861,409/295,286.50
  6. Step 6: Final answer
    x = 710,675.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.