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Finding the Third Proportional to 306,396 and 457,758

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Solution

The third proportional to 306,396 and 457,758 is: 683,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,396 : 457,758 = 457,758 : x
  2. Step 2: Convert to fraction form
    306,396/457,758 = 457,758/x
  3. Step 3: Cross multiply
    306,396x = 457,758 × 457,758
  4. Step 4: Simplify right side
    306,396x = 209,542,386,564
  5. Step 5: Solve for x
    x = 209,542,386,564/306,396
  6. Step 6: Final answer
    x = 683,894.00

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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.