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Finding the Third Proportional to 282,528 and 426,672

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Solution

The third proportional to 282,528 and 426,672 is: 644,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,528 : 426,672 = 426,672 : x
  2. Step 2: Convert to fraction form
    282,528/426,672 = 426,672/x
  3. Step 3: Cross multiply
    282,528x = 426,672 × 426,672
  4. Step 4: Simplify right side
    282,528x = 182,048,995,584
  5. Step 5: Solve for x
    x = 182,048,995,584/282,528
  6. Step 6: Final answer
    x = 644,357.36

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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.