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Finding the Third Proportional to 248,688 and 544,032

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Solution

The third proportional to 248,688 and 544,032 is: 1,190,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,688 : 544,032 = 544,032 : x
  2. Step 2: Convert to fraction form
    248,688/544,032 = 544,032/x
  3. Step 3: Cross multiply
    248,688x = 544,032 × 544,032
  4. Step 4: Simplify right side
    248,688x = 295,970,817,024
  5. Step 5: Solve for x
    x = 295,970,817,024/248,688
  6. Step 6: Final answer
    x = 1,190,129.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.