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Finding the Third Proportional to 366,953 and 788,159

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Solution

The third proportional to 366,953 and 788,159 is: 1,692,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,953 : 788,159 = 788,159 : x
  2. Step 2: Convert to fraction form
    366,953/788,159 = 788,159/x
  3. Step 3: Cross multiply
    366,953x = 788,159 × 788,159
  4. Step 4: Simplify right side
    366,953x = 621,194,609,281
  5. Step 5: Solve for x
    x = 621,194,609,281/366,953
  6. Step 6: Final answer
    x = 1,692,845.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.