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Finding the Third Proportional to 476,054 and 652,779

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Solution

The third proportional to 476,054 and 652,779 is: 895,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,054 : 652,779 = 652,779 : x
  2. Step 2: Convert to fraction form
    476,054/652,779 = 652,779/x
  3. Step 3: Cross multiply
    476,054x = 652,779 × 652,779
  4. Step 4: Simplify right side
    476,054x = 426,120,422,841
  5. Step 5: Solve for x
    x = 426,120,422,841/476,054
  6. Step 6: Final answer
    x = 895,109.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.