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Finding the Third Proportional to 235,640 and 508,641

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Solution

The third proportional to 235,640 and 508,641 is: 1,097,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,640 : 508,641 = 508,641 : x
  2. Step 2: Convert to fraction form
    235,640/508,641 = 508,641/x
  3. Step 3: Cross multiply
    235,640x = 508,641 × 508,641
  4. Step 4: Simplify right side
    235,640x = 258,715,666,881
  5. Step 5: Solve for x
    x = 258,715,666,881/235,640
  6. Step 6: Final answer
    x = 1,097,927.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.