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Finding the Third Proportional to 292,194 and 715,695.75

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Solution

The third proportional to 292,194 and 715,695.75 is: 1,753,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,194 : 715,695.75 = 715,695.75 : x
  2. Step 2: Convert to fraction form
    292,194/715,695.75 = 715,695.75/x
  3. Step 3: Cross multiply
    292,194x = 715,695.75 × 715,695.75
  4. Step 4: Simplify right side
    292,194x = 512,220,406,568.06
  5. Step 5: Solve for x
    x = 512,220,406,568.06/292,194
  6. Step 6: Final answer
    x = 1,753,014.80

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.