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Finding the Third Proportional to 340,028 and 524,672

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Solution

The third proportional to 340,028 and 524,672 is: 809,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,028 : 524,672 = 524,672 : x
  2. Step 2: Convert to fraction form
    340,028/524,672 = 524,672/x
  3. Step 3: Cross multiply
    340,028x = 524,672 × 524,672
  4. Step 4: Simplify right side
    340,028x = 275,280,707,584
  5. Step 5: Solve for x
    x = 275,280,707,584/340,028
  6. Step 6: Final answer
    x = 809,582.47

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Why These Related Problems?

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