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Finding the Third Proportional to 351,875.39 and 768,259.05

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Solution

The third proportional to 351,875.39 and 768,259.05 is: 1,677,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,875.39 : 768,259.05 = 768,259.05 : x
  2. Step 2: Convert to fraction form
    351,875.39/768,259.05 = 768,259.05/x
  3. Step 3: Cross multiply
    351,875.39x = 768,259.05 × 768,259.05
  4. Step 4: Simplify right side
    351,875.39x = 590,221,975,109.33
  5. Step 5: Solve for x
    x = 590,221,975,109.33/351,875.39
  6. Step 6: Final answer
    x = 1,677,360.77

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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.