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Finding the Third Proportional to 502,779 and 703,290

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Solution

The third proportional to 502,779 and 703,290 is: 983,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,779 : 703,290 = 703,290 : x
  2. Step 2: Convert to fraction form
    502,779/703,290 = 703,290/x
  3. Step 3: Cross multiply
    502,779x = 703,290 × 703,290
  4. Step 4: Simplify right side
    502,779x = 494,616,824,100
  5. Step 5: Solve for x
    x = 494,616,824,100/502,779
  6. Step 6: Final answer
    x = 983,765.88

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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.