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Finding the Third Proportional to 358,028 and 501,852

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Solution

The third proportional to 358,028 and 501,852 is: 703,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,028 : 501,852 = 501,852 : x
  2. Step 2: Convert to fraction form
    358,028/501,852 = 501,852/x
  3. Step 3: Cross multiply
    358,028x = 501,852 × 501,852
  4. Step 4: Simplify right side
    358,028x = 251,855,429,904
  5. Step 5: Solve for x
    x = 251,855,429,904/358,028
  6. Step 6: Final answer
    x = 703,451.77

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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.