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Finding the Third Proportional to 492,087 and 628,779

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Solution

The third proportional to 492,087 and 628,779 is: 803,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,087 : 628,779 = 628,779 : x
  2. Step 2: Convert to fraction form
    492,087/628,779 = 628,779/x
  3. Step 3: Cross multiply
    492,087x = 628,779 × 628,779
  4. Step 4: Simplify right side
    492,087x = 395,363,030,841
  5. Step 5: Solve for x
    x = 395,363,030,841/492,087
  6. Step 6: Final answer
    x = 803,441.32

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.