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Finding the Third Proportional to 623,625.75 and 689,235.75

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Solution

The third proportional to 623,625.75 and 689,235.75 is: 761,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,625.75 : 689,235.75 = 689,235.75 : x
  2. Step 2: Convert to fraction form
    623,625.75/689,235.75 = 689,235.75/x
  3. Step 3: Cross multiply
    623,625.75x = 689,235.75 × 689,235.75
  4. Step 4: Simplify right side
    623,625.75x = 475,045,919,078.06
  5. Step 5: Solve for x
    x = 475,045,919,078.06/623,625.75
  6. Step 6: Final answer
    x = 761,748.40

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.