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Finding the Third Proportional to 253,263.38 and 401,036.06

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Solution

The third proportional to 253,263.38 and 401,036.06 is: 635,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,263.38 : 401,036.06 = 401,036.06 : x
  2. Step 2: Convert to fraction form
    253,263.38/401,036.06 = 401,036.06/x
  3. Step 3: Cross multiply
    253,263.38x = 401,036.06 × 401,036.06
  4. Step 4: Simplify right side
    253,263.38x = 160,829,923,425.50
  5. Step 5: Solve for x
    x = 160,829,923,425.50/253,263.38
  6. Step 6: Final answer
    x = 635,030.33

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.