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Finding the Third Proportional to 353,160 and 497,544.75

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Solution

The third proportional to 353,160 and 497,544.75 is: 700,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,160 : 497,544.75 = 497,544.75 : x
  2. Step 2: Convert to fraction form
    353,160/497,544.75 = 497,544.75/x
  3. Step 3: Cross multiply
    353,160x = 497,544.75 × 497,544.75
  4. Step 4: Simplify right side
    353,160x = 247,550,778,252.56
  5. Step 5: Solve for x
    x = 247,550,778,252.56/353,160
  6. Step 6: Final answer
    x = 700,959.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.