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Finding the Third Proportional to 335,136 and 730,491

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Solution

The third proportional to 335,136 and 730,491 is: 1,592,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,136 : 730,491 = 730,491 : x
  2. Step 2: Convert to fraction form
    335,136/730,491 = 730,491/x
  3. Step 3: Cross multiply
    335,136x = 730,491 × 730,491
  4. Step 4: Simplify right side
    335,136x = 533,617,101,081
  5. Step 5: Solve for x
    x = 533,617,101,081/335,136
  6. Step 6: Final answer
    x = 1,592,240.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.