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Finding the Third Proportional to 345,664 and 715,305

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Solution

The third proportional to 345,664 and 715,305 is: 1,480,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,664 : 715,305 = 715,305 : x
  2. Step 2: Convert to fraction form
    345,664/715,305 = 715,305/x
  3. Step 3: Cross multiply
    345,664x = 715,305 × 715,305
  4. Step 4: Simplify right side
    345,664x = 511,661,243,025
  5. Step 5: Solve for x
    x = 511,661,243,025/345,664
  6. Step 6: Final answer
    x = 1,480,227.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.