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Finding the Third Proportional to 314,394 and 678,816

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Solution

The third proportional to 314,394 and 678,816 is: 1,465,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,394 : 678,816 = 678,816 : x
  2. Step 2: Convert to fraction form
    314,394/678,816 = 678,816/x
  3. Step 3: Cross multiply
    314,394x = 678,816 × 678,816
  4. Step 4: Simplify right side
    314,394x = 460,791,161,856
  5. Step 5: Solve for x
    x = 460,791,161,856/314,394
  6. Step 6: Final answer
    x = 1,465,648.71

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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.