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Finding the Third Proportional to 212,528 and 462,442

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Solution

The third proportional to 212,528 and 462,442 is: 1,006,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,528 : 462,442 = 462,442 : x
  2. Step 2: Convert to fraction form
    212,528/462,442 = 462,442/x
  3. Step 3: Cross multiply
    212,528x = 462,442 × 462,442
  4. Step 4: Simplify right side
    212,528x = 213,852,603,364
  5. Step 5: Solve for x
    x = 213,852,603,364/212,528
  6. Step 6: Final answer
    x = 1,006,232.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.