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Finding the Third Proportional to 298,905 and 646,653

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Solution

The third proportional to 298,905 and 646,653 is: 1,398,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,905 : 646,653 = 646,653 : x
  2. Step 2: Convert to fraction form
    298,905/646,653 = 646,653/x
  3. Step 3: Cross multiply
    298,905x = 646,653 × 646,653
  4. Step 4: Simplify right side
    298,905x = 418,160,102,409
  5. Step 5: Solve for x
    x = 418,160,102,409/298,905
  6. Step 6: Final answer
    x = 1,398,973.26

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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.