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Finding the Third Proportional to 523,542 and 830,346

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Solution

The third proportional to 523,542 and 830,346 is: 1,316,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,542 : 830,346 = 830,346 : x
  2. Step 2: Convert to fraction form
    523,542/830,346 = 830,346/x
  3. Step 3: Cross multiply
    523,542x = 830,346 × 830,346
  4. Step 4: Simplify right side
    523,542x = 689,474,479,716
  5. Step 5: Solve for x
    x = 689,474,479,716/523,542
  6. Step 6: Final answer
    x = 1,316,942.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.