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Finding the Third Proportional to 295,808 and 646,834

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Solution

The third proportional to 295,808 and 646,834 is: 1,414,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,808 : 646,834 = 646,834 : x
  2. Step 2: Convert to fraction form
    295,808/646,834 = 646,834/x
  3. Step 3: Cross multiply
    295,808x = 646,834 × 646,834
  4. Step 4: Simplify right side
    295,808x = 418,394,223,556
  5. Step 5: Solve for x
    x = 418,394,223,556/295,808
  6. Step 6: Final answer
    x = 1,414,411.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.