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Finding the Third Proportional to 363,716 and 785,509

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Solution

The third proportional to 363,716 and 785,509 is: 1,696,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,716 : 785,509 = 785,509 : x
  2. Step 2: Convert to fraction form
    363,716/785,509 = 785,509/x
  3. Step 3: Cross multiply
    363,716x = 785,509 × 785,509
  4. Step 4: Simplify right side
    363,716x = 617,024,389,081
  5. Step 5: Solve for x
    x = 617,024,389,081/363,716
  6. Step 6: Final answer
    x = 1,696,445.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.