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Finding the Third Proportional to 212,724 and 448,686

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Solution

The third proportional to 212,724 and 448,686 is: 946,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,724 : 448,686 = 448,686 : x
  2. Step 2: Convert to fraction form
    212,724/448,686 = 448,686/x
  3. Step 3: Cross multiply
    212,724x = 448,686 × 448,686
  4. Step 4: Simplify right side
    212,724x = 201,319,126,596
  5. Step 5: Solve for x
    x = 201,319,126,596/212,724
  6. Step 6: Final answer
    x = 946,386.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.