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Finding the Third Proportional to 341,263.13 and 743,055.19

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Solution

The third proportional to 341,263.13 and 743,055.19 is: 1,617,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,263.13 : 743,055.19 = 743,055.19 : x
  2. Step 2: Convert to fraction form
    341,263.13/743,055.19 = 743,055.19/x
  3. Step 3: Cross multiply
    341,263.13x = 743,055.19 × 743,055.19
  4. Step 4: Simplify right side
    341,263.13x = 552,131,011,670.66
  5. Step 5: Solve for x
    x = 552,131,011,670.66/341,263.13
  6. Step 6: Final answer
    x = 1,617,904.11

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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.