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Finding the Third Proportional to 537,456.75 and 776,934

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Solution

The third proportional to 537,456.75 and 776,934 is: 1,123,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,456.75 : 776,934 = 776,934 : x
  2. Step 2: Convert to fraction form
    537,456.75/776,934 = 776,934/x
  3. Step 3: Cross multiply
    537,456.75x = 776,934 × 776,934
  4. Step 4: Simplify right side
    537,456.75x = 603,626,440,356
  5. Step 5: Solve for x
    x = 603,626,440,356/537,456.75
  6. Step 6: Final answer
    x = 1,123,116.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.