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Finding the Third Proportional to 369,595 and 794,403

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Solution

The third proportional to 369,595 and 794,403 is: 1,707,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,595 : 794,403 = 794,403 : x
  2. Step 2: Convert to fraction form
    369,595/794,403 = 794,403/x
  3. Step 3: Cross multiply
    369,595x = 794,403 × 794,403
  4. Step 4: Simplify right side
    369,595x = 631,076,126,409
  5. Step 5: Solve for x
    x = 631,076,126,409/369,595
  6. Step 6: Final answer
    x = 1,707,480.15

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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.