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Finding the Third Proportional to 301,309.50 and 627,585

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Solution

The third proportional to 301,309.50 and 627,585 is: 1,307,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,309.50 : 627,585 = 627,585 : x
  2. Step 2: Convert to fraction form
    301,309.50/627,585 = 627,585/x
  3. Step 3: Cross multiply
    301,309.50x = 627,585 × 627,585
  4. Step 4: Simplify right side
    301,309.50x = 393,862,932,225
  5. Step 5: Solve for x
    x = 393,862,932,225/301,309.50
  6. Step 6: Final answer
    x = 1,307,170.64

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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.