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Finding the Third Proportional to 335,134 and 730,486

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Solution

The third proportional to 335,134 and 730,486 is: 1,592,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,134 : 730,486 = 730,486 : x
  2. Step 2: Convert to fraction form
    335,134/730,486 = 730,486/x
  3. Step 3: Cross multiply
    335,134x = 730,486 × 730,486
  4. Step 4: Simplify right side
    335,134x = 533,609,796,196
  5. Step 5: Solve for x
    x = 533,609,796,196/335,134
  6. Step 6: Final answer
    x = 1,592,228.17

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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.