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Finding the Third Proportional to 299,682 and 637,506

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Solution

The third proportional to 299,682 and 637,506 is: 1,356,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,682 : 637,506 = 637,506 : x
  2. Step 2: Convert to fraction form
    299,682/637,506 = 637,506/x
  3. Step 3: Cross multiply
    299,682x = 637,506 × 637,506
  4. Step 4: Simplify right side
    299,682x = 406,413,900,036
  5. Step 5: Solve for x
    x = 406,413,900,036/299,682
  6. Step 6: Final answer
    x = 1,356,150.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.