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Finding the Third Proportional to 455,959.13 and 684,181.69

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Solution

The third proportional to 455,959.13 and 684,181.69 is: 1,026,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,959.13 : 684,181.69 = 684,181.69 : x
  2. Step 2: Convert to fraction form
    455,959.13/684,181.69 = 684,181.69/x
  3. Step 3: Cross multiply
    455,959.13x = 684,181.69 × 684,181.69
  4. Step 4: Simplify right side
    455,959.13x = 468,104,581,510.35
  5. Step 5: Solve for x
    x = 468,104,581,510.35/455,959.13
  6. Step 6: Final answer
    x = 1,026,637.16

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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.