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Finding the Third Proportional to 322,473 and 637,008

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Solution

The third proportional to 322,473 and 637,008 is: 1,258,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,473 : 637,008 = 637,008 : x
  2. Step 2: Convert to fraction form
    322,473/637,008 = 637,008/x
  3. Step 3: Cross multiply
    322,473x = 637,008 × 637,008
  4. Step 4: Simplify right side
    322,473x = 405,779,192,064
  5. Step 5: Solve for x
    x = 405,779,192,064/322,473
  6. Step 6: Final answer
    x = 1,258,335.40

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.