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Finding the Third Proportional to 307,585 and 465,627

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Solution

The third proportional to 307,585 and 465,627 is: 704,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,585 : 465,627 = 465,627 : x
  2. Step 2: Convert to fraction form
    307,585/465,627 = 465,627/x
  3. Step 3: Cross multiply
    307,585x = 465,627 × 465,627
  4. Step 4: Simplify right side
    307,585x = 216,808,503,129
  5. Step 5: Solve for x
    x = 216,808,503,129/307,585
  6. Step 6: Final answer
    x = 704,873.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.