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Finding the Third Proportional to 504,898.50 and 776,008

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Solution

The third proportional to 504,898.50 and 776,008 is: 1,192,692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,898.50 : 776,008 = 776,008 : x
  2. Step 2: Convert to fraction form
    504,898.50/776,008 = 776,008/x
  3. Step 3: Cross multiply
    504,898.50x = 776,008 × 776,008
  4. Step 4: Simplify right side
    504,898.50x = 602,188,416,064
  5. Step 5: Solve for x
    x = 602,188,416,064/504,898.50
  6. Step 6: Final answer
    x = 1,192,692.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.