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Finding the Third Proportional to 369,475 and 794,202

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Solution

The third proportional to 369,475 and 794,202 is: 1,707,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,475 : 794,202 = 794,202 : x
  2. Step 2: Convert to fraction form
    369,475/794,202 = 794,202/x
  3. Step 3: Cross multiply
    369,475x = 794,202 × 794,202
  4. Step 4: Simplify right side
    369,475x = 630,756,816,804
  5. Step 5: Solve for x
    x = 630,756,816,804/369,475
  6. Step 6: Final answer
    x = 1,707,170.49

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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.