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Finding the Third Proportional to 333,489 and 730,224

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Solution

The third proportional to 333,489 and 730,224 is: 1,598,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,489 : 730,224 = 730,224 : x
  2. Step 2: Convert to fraction form
    333,489/730,224 = 730,224/x
  3. Step 3: Cross multiply
    333,489x = 730,224 × 730,224
  4. Step 4: Simplify right side
    333,489x = 533,227,090,176
  5. Step 5: Solve for x
    x = 533,227,090,176/333,489
  6. Step 6: Final answer
    x = 1,598,934.57

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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.