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Finding the Third Proportional to 507,208 and 784,968

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Solution

The third proportional to 507,208 and 784,968 is: 1,214,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,208 : 784,968 = 784,968 : x
  2. Step 2: Convert to fraction form
    507,208/784,968 = 784,968/x
  3. Step 3: Cross multiply
    507,208x = 784,968 × 784,968
  4. Step 4: Simplify right side
    507,208x = 616,174,761,024
  5. Step 5: Solve for x
    x = 616,174,761,024/507,208
  6. Step 6: Final answer
    x = 1,214,836.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.