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Finding the Third Proportional to 504,610 and 596,770

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Solution

The third proportional to 504,610 and 596,770 is: 705,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,610 : 596,770 = 596,770 : x
  2. Step 2: Convert to fraction form
    504,610/596,770 = 596,770/x
  3. Step 3: Cross multiply
    504,610x = 596,770 × 596,770
  4. Step 4: Simplify right side
    504,610x = 356,134,432,900
  5. Step 5: Solve for x
    x = 356,134,432,900/504,610
  6. Step 6: Final answer
    x = 705,761.74

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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.