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Finding the Third Proportional to 314,278 and 678,356

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Solution

The third proportional to 314,278 and 678,356 is: 1,464,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,278 : 678,356 = 678,356 : x
  2. Step 2: Convert to fraction form
    314,278/678,356 = 678,356/x
  3. Step 3: Cross multiply
    314,278x = 678,356 × 678,356
  4. Step 4: Simplify right side
    314,278x = 460,166,862,736
  5. Step 5: Solve for x
    x = 460,166,862,736/314,278
  6. Step 6: Final answer
    x = 1,464,203.23

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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.