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Finding the Third Proportional to 356,619.50 and 777,211

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Solution

The third proportional to 356,619.50 and 777,211 is: 1,693,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,619.50 : 777,211 = 777,211 : x
  2. Step 2: Convert to fraction form
    356,619.50/777,211 = 777,211/x
  3. Step 3: Cross multiply
    356,619.50x = 777,211 × 777,211
  4. Step 4: Simplify right side
    356,619.50x = 604,056,938,521
  5. Step 5: Solve for x
    x = 604,056,938,521/356,619.50
  6. Step 6: Final answer
    x = 1,693,841.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.