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Finding the Third Proportional to 238,470 and 505,362

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Solution

The third proportional to 238,470 and 505,362 is: 1,070,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,470 : 505,362 = 505,362 : x
  2. Step 2: Convert to fraction form
    238,470/505,362 = 505,362/x
  3. Step 3: Cross multiply
    238,470x = 505,362 × 505,362
  4. Step 4: Simplify right side
    238,470x = 255,390,751,044
  5. Step 5: Solve for x
    x = 255,390,751,044/238,470
  6. Step 6: Final answer
    x = 1,070,955.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.