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Finding the Third Proportional to 355,169 and 760,783

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Solution

The third proportional to 355,169 and 760,783 is: 1,629,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,169 : 760,783 = 760,783 : x
  2. Step 2: Convert to fraction form
    355,169/760,783 = 760,783/x
  3. Step 3: Cross multiply
    355,169x = 760,783 × 760,783
  4. Step 4: Simplify right side
    355,169x = 578,790,773,089
  5. Step 5: Solve for x
    x = 578,790,773,089/355,169
  6. Step 6: Final answer
    x = 1,629,620.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.