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Finding the Third Proportional to 572,467.50 and 858,774

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Solution

The third proportional to 572,467.50 and 858,774 is: 1,288,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,467.50 : 858,774 = 858,774 : x
  2. Step 2: Convert to fraction form
    572,467.50/858,774 = 858,774/x
  3. Step 3: Cross multiply
    572,467.50x = 858,774 × 858,774
  4. Step 4: Simplify right side
    572,467.50x = 737,492,783,076
  5. Step 5: Solve for x
    x = 737,492,783,076/572,467.50
  6. Step 6: Final answer
    x = 1,288,270.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.