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Finding the Third Proportional to 353,178 and 765,028

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Solution

The third proportional to 353,178 and 765,028 is: 1,657,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,178 : 765,028 = 765,028 : x
  2. Step 2: Convert to fraction form
    353,178/765,028 = 765,028/x
  3. Step 3: Cross multiply
    353,178x = 765,028 × 765,028
  4. Step 4: Simplify right side
    353,178x = 585,267,840,784
  5. Step 5: Solve for x
    x = 585,267,840,784/353,178
  6. Step 6: Final answer
    x = 1,657,146.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.