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Finding the Third Proportional to 520,094 and 778,035

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Solution

The third proportional to 520,094 and 778,035 is: 1,163,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,094 : 778,035 = 778,035 : x
  2. Step 2: Convert to fraction form
    520,094/778,035 = 778,035/x
  3. Step 3: Cross multiply
    520,094x = 778,035 × 778,035
  4. Step 4: Simplify right side
    520,094x = 605,338,461,225
  5. Step 5: Solve for x
    x = 605,338,461,225/520,094
  6. Step 6: Final answer
    x = 1,163,902.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.