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Finding the Third Proportional to 322,528 and 701,024

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Solution

The third proportional to 322,528 and 701,024 is: 1,523,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,528 : 701,024 = 701,024 : x
  2. Step 2: Convert to fraction form
    322,528/701,024 = 701,024/x
  3. Step 3: Cross multiply
    322,528x = 701,024 × 701,024
  4. Step 4: Simplify right side
    322,528x = 491,434,648,576
  5. Step 5: Solve for x
    x = 491,434,648,576/322,528
  6. Step 6: Final answer
    x = 1,523,696.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.