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Finding the Third Proportional to 201,052 and 432,994

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Solution

The third proportional to 201,052 and 432,994 is: 932,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,052 : 432,994 = 432,994 : x
  2. Step 2: Convert to fraction form
    201,052/432,994 = 432,994/x
  3. Step 3: Cross multiply
    201,052x = 432,994 × 432,994
  4. Step 4: Simplify right side
    201,052x = 187,483,804,036
  5. Step 5: Solve for x
    x = 187,483,804,036/201,052
  6. Step 6: Final answer
    x = 932,514.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.