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Finding the Third Proportional to 773,898.75 and 1,158,994.13

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Solution

The third proportional to 773,898.75 and 1,158,994.13 is: 1,735,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,898.75 : 1,158,994.13 = 1,158,994.13 : x
  2. Step 2: Convert to fraction form
    773,898.75/1,158,994.13 = 1,158,994.13/x
  3. Step 3: Cross multiply
    773,898.75x = 1,158,994.13 × 1,158,994.13
  4. Step 4: Simplify right side
    773,898.75x = 1,343,267,381,784.52
  5. Step 5: Solve for x
    x = 1,343,267,381,784.52/773,898.75
  6. Step 6: Final answer
    x = 1,735,714.63

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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.