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Finding the Third Proportional to 548,532 and 828,646

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Solution

The third proportional to 548,532 and 828,646 is: 1,251,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,532 : 828,646 = 828,646 : x
  2. Step 2: Convert to fraction form
    548,532/828,646 = 828,646/x
  3. Step 3: Cross multiply
    548,532x = 828,646 × 828,646
  4. Step 4: Simplify right side
    548,532x = 686,654,193,316
  5. Step 5: Solve for x
    x = 686,654,193,316/548,532
  6. Step 6: Final answer
    x = 1,251,803.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.