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Finding the Third Proportional to 286,011 and 436,711.50

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Solution

The third proportional to 286,011 and 436,711.50 is: 666,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,011 : 436,711.50 = 436,711.50 : x
  2. Step 2: Convert to fraction form
    286,011/436,711.50 = 436,711.50/x
  3. Step 3: Cross multiply
    286,011x = 436,711.50 × 436,711.50
  4. Step 4: Simplify right side
    286,011x = 190,716,934,232.25
  5. Step 5: Solve for x
    x = 190,716,934,232.25/286,011
  6. Step 6: Final answer
    x = 666,816.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.