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Finding the Third Proportional to 383,130 and 832,572

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Solution

The third proportional to 383,130 and 832,572 is: 1,809,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,130 : 832,572 = 832,572 : x
  2. Step 2: Convert to fraction form
    383,130/832,572 = 832,572/x
  3. Step 3: Cross multiply
    383,130x = 832,572 × 832,572
  4. Step 4: Simplify right side
    383,130x = 693,176,135,184
  5. Step 5: Solve for x
    x = 693,176,135,184/383,130
  6. Step 6: Final answer
    x = 1,809,245.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.