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Finding the Third Proportional to 358,038 and 501,903

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Solution

The third proportional to 358,038 and 501,903 is: 703,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,038 : 501,903 = 501,903 : x
  2. Step 2: Convert to fraction form
    358,038/501,903 = 501,903/x
  3. Step 3: Cross multiply
    358,038x = 501,903 × 501,903
  4. Step 4: Simplify right side
    358,038x = 251,906,621,409
  5. Step 5: Solve for x
    x = 251,906,621,409/358,038
  6. Step 6: Final answer
    x = 703,575.10

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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.