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Finding the Third Proportional to 357,615 and 501,228

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Solution

The third proportional to 357,615 and 501,228 is: 702,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,615 : 501,228 = 501,228 : x
  2. Step 2: Convert to fraction form
    357,615/501,228 = 501,228/x
  3. Step 3: Cross multiply
    357,615x = 501,228 × 501,228
  4. Step 4: Simplify right side
    357,615x = 251,229,507,984
  5. Step 5: Solve for x
    x = 251,229,507,984/357,615
  6. Step 6: Final answer
    x = 702,513.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.