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Finding the Third Proportional to 294,657 and 436,461

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Solution

The third proportional to 294,657 and 436,461 is: 646,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,657 : 436,461 = 436,461 : x
  2. Step 2: Convert to fraction form
    294,657/436,461 = 436,461/x
  3. Step 3: Cross multiply
    294,657x = 436,461 × 436,461
  4. Step 4: Simplify right side
    294,657x = 190,498,204,521
  5. Step 5: Solve for x
    x = 190,498,204,521/294,657
  6. Step 6: Final answer
    x = 646,508.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.