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Finding the Third Proportional to 383,011 and 536,709

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Solution

The third proportional to 383,011 and 536,709 is: 752,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,011 : 536,709 = 536,709 : x
  2. Step 2: Convert to fraction form
    383,011/536,709 = 536,709/x
  3. Step 3: Cross multiply
    383,011x = 536,709 × 536,709
  4. Step 4: Simplify right side
    383,011x = 288,056,550,681
  5. Step 5: Solve for x
    x = 288,056,550,681/383,011
  6. Step 6: Final answer
    x = 752,084.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.