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Finding the Third Proportional to 366,473 and 788,350

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Solution

The third proportional to 366,473 and 788,350 is: 1,695,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,473 : 788,350 = 788,350 : x
  2. Step 2: Convert to fraction form
    366,473/788,350 = 788,350/x
  3. Step 3: Cross multiply
    366,473x = 788,350 × 788,350
  4. Step 4: Simplify right side
    366,473x = 621,495,722,500
  5. Step 5: Solve for x
    x = 621,495,722,500/366,473
  6. Step 6: Final answer
    x = 1,695,884.07

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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.