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Finding the Third Proportional to 369,703 and 595,217

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Solution

The third proportional to 369,703 and 595,217 is: 958,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,703 : 595,217 = 595,217 : x
  2. Step 2: Convert to fraction form
    369,703/595,217 = 595,217/x
  3. Step 3: Cross multiply
    369,703x = 595,217 × 595,217
  4. Step 4: Simplify right side
    369,703x = 354,283,277,089
  5. Step 5: Solve for x
    x = 354,283,277,089/369,703
  6. Step 6: Final answer
    x = 958,291.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.