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Finding the Third Proportional to 307,465.88 and 674,163

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Solution

The third proportional to 307,465.88 and 674,163 is: 1,478,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,465.88 : 674,163 = 674,163 : x
  2. Step 2: Convert to fraction form
    307,465.88/674,163 = 674,163/x
  3. Step 3: Cross multiply
    307,465.88x = 674,163 × 674,163
  4. Step 4: Simplify right side
    307,465.88x = 454,495,750,569
  5. Step 5: Solve for x
    x = 454,495,750,569/307,465.88
  6. Step 6: Final answer
    x = 1,478,199.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.