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Finding the Third Proportional to 334,378.13 and 722,054.25

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Solution

The third proportional to 334,378.13 and 722,054.25 is: 1,559,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,378.13 : 722,054.25 = 722,054.25 : x
  2. Step 2: Convert to fraction form
    334,378.13/722,054.25 = 722,054.25/x
  3. Step 3: Cross multiply
    334,378.13x = 722,054.25 × 722,054.25
  4. Step 4: Simplify right side
    334,378.13x = 521,362,339,943.06
  5. Step 5: Solve for x
    x = 521,362,339,943.06/334,378.13
  6. Step 6: Final answer
    x = 1,559,199.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.