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Finding the Third Proportional to 535,848 and 828,960

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Solution

The third proportional to 535,848 and 828,960 is: 1,282,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,848 : 828,960 = 828,960 : x
  2. Step 2: Convert to fraction form
    535,848/828,960 = 828,960/x
  3. Step 3: Cross multiply
    535,848x = 828,960 × 828,960
  4. Step 4: Simplify right side
    535,848x = 687,174,681,600
  5. Step 5: Solve for x
    x = 687,174,681,600/535,848
  6. Step 6: Final answer
    x = 1,282,405.98

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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.