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Finding the Third Proportional to 384,746.50 and 574,966

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Solution

The third proportional to 384,746.50 and 574,966 is: 859,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,746.50 : 574,966 = 574,966 : x
  2. Step 2: Convert to fraction form
    384,746.50/574,966 = 574,966/x
  3. Step 3: Cross multiply
    384,746.50x = 574,966 × 574,966
  4. Step 4: Simplify right side
    384,746.50x = 330,585,901,156
  5. Step 5: Solve for x
    x = 330,585,901,156/384,746.50
  6. Step 6: Final answer
    x = 859,230.43

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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.