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Finding the Third Proportional to 535,815 and 828,918

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Solution

The third proportional to 535,815 and 828,918 is: 1,282,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,815 : 828,918 = 828,918 : x
  2. Step 2: Convert to fraction form
    535,815/828,918 = 828,918/x
  3. Step 3: Cross multiply
    535,815x = 828,918 × 828,918
  4. Step 4: Simplify right side
    535,815x = 687,105,050,724
  5. Step 5: Solve for x
    x = 687,105,050,724/535,815
  6. Step 6: Final answer
    x = 1,282,355.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.