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Finding the Third Proportional to 544,808 and 840,188

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Solution

The third proportional to 544,808 and 840,188 is: 1,295,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,808 : 840,188 = 840,188 : x
  2. Step 2: Convert to fraction form
    544,808/840,188 = 840,188/x
  3. Step 3: Cross multiply
    544,808x = 840,188 × 840,188
  4. Step 4: Simplify right side
    544,808x = 705,915,875,344
  5. Step 5: Solve for x
    x = 705,915,875,344/544,808
  6. Step 6: Final answer
    x = 1,295,714.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.