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Finding the Third Proportional to 533,881.13 and 824,392.69

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Solution

The third proportional to 533,881.13 and 824,392.69 is: 1,272,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,881.13 : 824,392.69 = 824,392.69 : x
  2. Step 2: Convert to fraction form
    533,881.13/824,392.69 = 824,392.69/x
  3. Step 3: Cross multiply
    533,881.13x = 824,392.69 × 824,392.69
  4. Step 4: Simplify right side
    533,881.13x = 679,623,303,203.47
  5. Step 5: Solve for x
    x = 679,623,303,203.47/533,881.13
  6. Step 6: Final answer
    x = 1,272,986.20

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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.