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Finding the Third Proportional to 334,973 and 730,075

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Solution

The third proportional to 334,973 and 730,075 is: 1,591,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,973 : 730,075 = 730,075 : x
  2. Step 2: Convert to fraction form
    334,973/730,075 = 730,075/x
  3. Step 3: Cross multiply
    334,973x = 730,075 × 730,075
  4. Step 4: Simplify right side
    334,973x = 533,009,505,625
  5. Step 5: Solve for x
    x = 533,009,505,625/334,973
  6. Step 6: Final answer
    x = 1,591,201.40

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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.