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Finding the Third Proportional to 597,501 and 913,675.50

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Solution

The third proportional to 597,501 and 913,675.50 is: 1,397,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,501 : 913,675.50 = 913,675.50 : x
  2. Step 2: Convert to fraction form
    597,501/913,675.50 = 913,675.50/x
  3. Step 3: Cross multiply
    597,501x = 913,675.50 × 913,675.50
  4. Step 4: Simplify right side
    597,501x = 834,802,919,300.25
  5. Step 5: Solve for x
    x = 834,802,919,300.25/597,501
  6. Step 6: Final answer
    x = 1,397,157.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.