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Finding the Third Proportional to 369,513 and 794,277

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Solution

The third proportional to 369,513 and 794,277 is: 1,707,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,513 : 794,277 = 794,277 : x
  2. Step 2: Convert to fraction form
    369,513/794,277 = 794,277/x
  3. Step 3: Cross multiply
    369,513x = 794,277 × 794,277
  4. Step 4: Simplify right side
    369,513x = 630,875,952,729
  5. Step 5: Solve for x
    x = 630,875,952,729/369,513
  6. Step 6: Final answer
    x = 1,707,317.34

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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.