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Finding the Third Proportional to 424,563 and 576,904

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Solution

The third proportional to 424,563 and 576,904 is: 783,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,563 : 576,904 = 576,904 : x
  2. Step 2: Convert to fraction form
    424,563/576,904 = 576,904/x
  3. Step 3: Cross multiply
    424,563x = 576,904 × 576,904
  4. Step 4: Simplify right side
    424,563x = 332,818,225,216
  5. Step 5: Solve for x
    x = 332,818,225,216/424,563
  6. Step 6: Final answer
    x = 783,907.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.