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Finding the Third Proportional to 314,411 and 678,850

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Solution

The third proportional to 314,411 and 678,850 is: 1,465,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,411 : 678,850 = 678,850 : x
  2. Step 2: Convert to fraction form
    314,411/678,850 = 678,850/x
  3. Step 3: Cross multiply
    314,411x = 678,850 × 678,850
  4. Step 4: Simplify right side
    314,411x = 460,837,322,500
  5. Step 5: Solve for x
    x = 460,837,322,500/314,411
  6. Step 6: Final answer
    x = 1,465,716.28

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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.