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Finding the Third Proportional to 338,133 and 730,410

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Solution

The third proportional to 338,133 and 730,410 is: 1,577,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,133 : 730,410 = 730,410 : x
  2. Step 2: Convert to fraction form
    338,133/730,410 = 730,410/x
  3. Step 3: Cross multiply
    338,133x = 730,410 × 730,410
  4. Step 4: Simplify right side
    338,133x = 533,498,768,100
  5. Step 5: Solve for x
    x = 533,498,768,100/338,133
  6. Step 6: Final answer
    x = 1,577,777.88

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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.