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Finding the Third Proportional to 334,203.75 and 657,334.13

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Solution

The third proportional to 334,203.75 and 657,334.13 is: 1,292,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,203.75 : 657,334.13 = 657,334.13 : x
  2. Step 2: Convert to fraction form
    334,203.75/657,334.13 = 657,334.13/x
  3. Step 3: Cross multiply
    334,203.75x = 657,334.13 × 657,334.13
  4. Step 4: Simplify right side
    334,203.75x = 432,088,151,889.52
  5. Step 5: Solve for x
    x = 432,088,151,889.52/334,203.75
  6. Step 6: Final answer
    x = 1,292,888.40

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.