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Finding the Third Proportional to 286,385.63 and 565,543.69

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Solution

The third proportional to 286,385.63 and 565,543.69 is: 1,116,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,385.63 : 565,543.69 = 565,543.69 : x
  2. Step 2: Convert to fraction form
    286,385.63/565,543.69 = 565,543.69/x
  3. Step 3: Cross multiply
    286,385.63x = 565,543.69 × 565,543.69
  4. Step 4: Simplify right side
    286,385.63x = 319,839,662,471.10
  5. Step 5: Solve for x
    x = 319,839,662,471.10/286,385.63
  6. Step 6: Final answer
    x = 1,116,814.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.