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Finding the Third Proportional to 546,532 and 827,423

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Solution

The third proportional to 546,532 and 827,423 is: 1,252,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,532 : 827,423 = 827,423 : x
  2. Step 2: Convert to fraction form
    546,532/827,423 = 827,423/x
  3. Step 3: Cross multiply
    546,532x = 827,423 × 827,423
  4. Step 4: Simplify right side
    546,532x = 684,628,820,929
  5. Step 5: Solve for x
    x = 684,628,820,929/546,532
  6. Step 6: Final answer
    x = 1,252,678.38

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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.