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Finding the Third Proportional to 333,496 and 730,238

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Solution

The third proportional to 333,496 and 730,238 is: 1,598,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,496 : 730,238 = 730,238 : x
  2. Step 2: Convert to fraction form
    333,496/730,238 = 730,238/x
  3. Step 3: Cross multiply
    333,496x = 730,238 × 730,238
  4. Step 4: Simplify right side
    333,496x = 533,247,536,644
  5. Step 5: Solve for x
    x = 533,247,536,644/333,496
  6. Step 6: Final answer
    x = 1,598,962.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.