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Finding the Third Proportional to 369,598 and 794,409

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Solution

The third proportional to 369,598 and 794,409 is: 1,707,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,598 : 794,409 = 794,409 : x
  2. Step 2: Convert to fraction form
    369,598/794,409 = 794,409/x
  3. Step 3: Cross multiply
    369,598x = 794,409 × 794,409
  4. Step 4: Simplify right side
    369,598x = 631,085,659,281
  5. Step 5: Solve for x
    x = 631,085,659,281/369,598
  6. Step 6: Final answer
    x = 1,707,492.08

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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.