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Finding the Third Proportional to 502,771.50 and 703,278

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Solution

The third proportional to 502,771.50 and 703,278 is: 983,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,771.50 : 703,278 = 703,278 : x
  2. Step 2: Convert to fraction form
    502,771.50/703,278 = 703,278/x
  3. Step 3: Cross multiply
    502,771.50x = 703,278 × 703,278
  4. Step 4: Simplify right side
    502,771.50x = 494,599,945,284
  5. Step 5: Solve for x
    x = 494,599,945,284/502,771.50
  6. Step 6: Final answer
    x = 983,746.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.