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Finding the Third Proportional to 306,400 and 457,746

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Solution

The third proportional to 306,400 and 457,746 is: 683,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,400 : 457,746 = 457,746 : x
  2. Step 2: Convert to fraction form
    306,400/457,746 = 457,746/x
  3. Step 3: Cross multiply
    306,400x = 457,746 × 457,746
  4. Step 4: Simplify right side
    306,400x = 209,531,400,516
  5. Step 5: Solve for x
    x = 209,531,400,516/306,400
  6. Step 6: Final answer
    x = 683,849.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.