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Finding the Third Proportional to 292,830.75 and 442,935

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Solution

The third proportional to 292,830.75 and 442,935 is: 669,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,830.75 : 442,935 = 442,935 : x
  2. Step 2: Convert to fraction form
    292,830.75/442,935 = 442,935/x
  3. Step 3: Cross multiply
    292,830.75x = 442,935 × 442,935
  4. Step 4: Simplify right side
    292,830.75x = 196,191,414,225
  5. Step 5: Solve for x
    x = 196,191,414,225/292,830.75
  6. Step 6: Final answer
    x = 669,982.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.