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Finding the Third Proportional to 301,470 and 627,746

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Solution

The third proportional to 301,470 and 627,746 is: 1,307,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,470 : 627,746 = 627,746 : x
  2. Step 2: Convert to fraction form
    301,470/627,746 = 627,746/x
  3. Step 3: Cross multiply
    301,470x = 627,746 × 627,746
  4. Step 4: Simplify right side
    301,470x = 394,065,040,516
  5. Step 5: Solve for x
    x = 394,065,040,516/301,470
  6. Step 6: Final answer
    x = 1,307,145.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.