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Finding the Third Proportional to 297,324 and 423,842

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Solution

The third proportional to 297,324 and 423,842 is: 604,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,324 : 423,842 = 423,842 : x
  2. Step 2: Convert to fraction form
    297,324/423,842 = 423,842/x
  3. Step 3: Cross multiply
    297,324x = 423,842 × 423,842
  4. Step 4: Simplify right side
    297,324x = 179,642,040,964
  5. Step 5: Solve for x
    x = 179,642,040,964/297,324
  6. Step 6: Final answer
    x = 604,196.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.