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Finding the Third Proportional to 504,567 and 779,158.50

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Solution

The third proportional to 504,567 and 779,158.50 is: 1,203,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,567 : 779,158.50 = 779,158.50 : x
  2. Step 2: Convert to fraction form
    504,567/779,158.50 = 779,158.50/x
  3. Step 3: Cross multiply
    504,567x = 779,158.50 × 779,158.50
  4. Step 4: Simplify right side
    504,567x = 607,087,968,122.25
  5. Step 5: Solve for x
    x = 607,087,968,122.25/504,567
  6. Step 6: Final answer
    x = 1,203,186.04

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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.