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Finding the Third Proportional to 335,963 and 730,973

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Solution

The third proportional to 335,963 and 730,973 is: 1,590,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,963 : 730,973 = 730,973 : x
  2. Step 2: Convert to fraction form
    335,963/730,973 = 730,973/x
  3. Step 3: Cross multiply
    335,963x = 730,973 × 730,973
  4. Step 4: Simplify right side
    335,963x = 534,321,526,729
  5. Step 5: Solve for x
    x = 534,321,526,729/335,963
  6. Step 6: Final answer
    x = 1,590,417.77

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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.