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Finding the Third Proportional to 344,259 and 750,822

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Solution

The third proportional to 344,259 and 750,822 is: 1,637,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,259 : 750,822 = 750,822 : x
  2. Step 2: Convert to fraction form
    344,259/750,822 = 750,822/x
  3. Step 3: Cross multiply
    344,259x = 750,822 × 750,822
  4. Step 4: Simplify right side
    344,259x = 563,733,675,684
  5. Step 5: Solve for x
    x = 563,733,675,684/344,259
  6. Step 6: Final answer
    x = 1,637,527.78

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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.