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Finding the Third Proportional to 384,114.66 and 824,271.19

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Solution

The third proportional to 384,114.66 and 824,271.19 is: 1,768,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,114.66 : 824,271.19 = 824,271.19 : x
  2. Step 2: Convert to fraction form
    384,114.66/824,271.19 = 824,271.19/x
  3. Step 3: Cross multiply
    384,114.66x = 824,271.19 × 824,271.19
  4. Step 4: Simplify right side
    384,114.66x = 679,422,990,542.66
  5. Step 5: Solve for x
    x = 679,422,990,542.66/384,114.66
  6. Step 6: Final answer
    x = 1,768,802.57

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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.