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Finding the Third Proportional to 366,946 and 788,146

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Solution

The third proportional to 366,946 and 788,146 is: 1,692,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 788,146 = 788,146 : x
  2. Step 2: Convert to fraction form
    366,946/788,146 = 788,146/x
  3. Step 3: Cross multiply
    366,946x = 788,146 × 788,146
  4. Step 4: Simplify right side
    366,946x = 621,174,117,316
  5. Step 5: Solve for x
    x = 621,174,117,316/366,946
  6. Step 6: Final answer
    x = 1,692,821.61

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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.