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Finding the Third Proportional to 533,700 and 824,121

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Solution

The third proportional to 533,700 and 824,121 is: 1,272,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,700 : 824,121 = 824,121 : x
  2. Step 2: Convert to fraction form
    533,700/824,121 = 824,121/x
  3. Step 3: Cross multiply
    533,700x = 824,121 × 824,121
  4. Step 4: Simplify right side
    533,700x = 679,175,422,641
  5. Step 5: Solve for x
    x = 679,175,422,641/533,700
  6. Step 6: Final answer
    x = 1,272,579.02

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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.