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Finding the Third Proportional to 504,603 and 596,763

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Solution

The third proportional to 504,603 and 596,763 is: 705,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,603 : 596,763 = 596,763 : x
  2. Step 2: Convert to fraction form
    504,603/596,763 = 596,763/x
  3. Step 3: Cross multiply
    504,603x = 596,763 × 596,763
  4. Step 4: Simplify right side
    504,603x = 356,126,078,169
  5. Step 5: Solve for x
    x = 356,126,078,169/504,603
  6. Step 6: Final answer
    x = 705,754.98

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.