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Finding the Third Proportional to 335,046 and 730,326

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Solution

The third proportional to 335,046 and 730,326 is: 1,591,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,046 : 730,326 = 730,326 : x
  2. Step 2: Convert to fraction form
    335,046/730,326 = 730,326/x
  3. Step 3: Cross multiply
    335,046x = 730,326 × 730,326
  4. Step 4: Simplify right side
    335,046x = 533,376,066,276
  5. Step 5: Solve for x
    x = 533,376,066,276/335,046
  6. Step 6: Final answer
    x = 1,591,948.77

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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.