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Finding the Third Proportional to 265,371.19 and 572,994

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Solution

The third proportional to 265,371.19 and 572,994 is: 1,237,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,371.19 : 572,994 = 572,994 : x
  2. Step 2: Convert to fraction form
    265,371.19/572,994 = 572,994/x
  3. Step 3: Cross multiply
    265,371.19x = 572,994 × 572,994
  4. Step 4: Simplify right side
    265,371.19x = 328,322,124,036
  5. Step 5: Solve for x
    x = 328,322,124,036/265,371.19
  6. Step 6: Final answer
    x = 1,237,218.43

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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.