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Finding the Third Proportional to 353,139.75 and 513,303.75

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Solution

The third proportional to 353,139.75 and 513,303.75 is: 746,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,139.75 : 513,303.75 = 513,303.75 : x
  2. Step 2: Convert to fraction form
    353,139.75/513,303.75 = 513,303.75/x
  3. Step 3: Cross multiply
    353,139.75x = 513,303.75 × 513,303.75
  4. Step 4: Simplify right side
    353,139.75x = 263,480,739,764.06
  5. Step 5: Solve for x
    x = 263,480,739,764.06/353,139.75
  6. Step 6: Final answer
    x = 746,108.98

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.