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Finding the Third Proportional to 502,212 and 744,630

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Solution

The third proportional to 502,212 and 744,630 is: 1,104,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,212 : 744,630 = 744,630 : x
  2. Step 2: Convert to fraction form
    502,212/744,630 = 744,630/x
  3. Step 3: Cross multiply
    502,212x = 744,630 × 744,630
  4. Step 4: Simplify right side
    502,212x = 554,473,836,900
  5. Step 5: Solve for x
    x = 554,473,836,900/502,212
  6. Step 6: Final answer
    x = 1,104,063.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.