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Finding the Third Proportional to 504,582 and 758,994

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Solution

The third proportional to 504,582 and 758,994 is: 1,141,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,582 : 758,994 = 758,994 : x
  2. Step 2: Convert to fraction form
    504,582/758,994 = 758,994/x
  3. Step 3: Cross multiply
    504,582x = 758,994 × 758,994
  4. Step 4: Simplify right side
    504,582x = 576,071,892,036
  5. Step 5: Solve for x
    x = 576,071,892,036/504,582
  6. Step 6: Final answer
    x = 1,141,681.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.