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Finding the Third Proportional to 316,268 and 492,546

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Solution

The third proportional to 316,268 and 492,546 is: 767,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,268 : 492,546 = 492,546 : x
  2. Step 2: Convert to fraction form
    316,268/492,546 = 492,546/x
  3. Step 3: Cross multiply
    316,268x = 492,546 × 492,546
  4. Step 4: Simplify right side
    316,268x = 242,601,562,116
  5. Step 5: Solve for x
    x = 242,601,562,116/316,268
  6. Step 6: Final answer
    x = 767,075.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.