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Finding the Third Proportional to 402,522.75 and 874,935

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Solution

The third proportional to 402,522.75 and 874,935 is: 1,901,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,522.75 : 874,935 = 874,935 : x
  2. Step 2: Convert to fraction form
    402,522.75/874,935 = 874,935/x
  3. Step 3: Cross multiply
    402,522.75x = 874,935 × 874,935
  4. Step 4: Simplify right side
    402,522.75x = 765,511,254,225
  5. Step 5: Solve for x
    x = 765,511,254,225/402,522.75
  6. Step 6: Final answer
    x = 1,901,783.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.