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Finding the Third Proportional to 332,616 and 512,046

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Solution

The third proportional to 332,616 and 512,046 is: 788,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,616 : 512,046 = 512,046 : x
  2. Step 2: Convert to fraction form
    332,616/512,046 = 512,046/x
  3. Step 3: Cross multiply
    332,616x = 512,046 × 512,046
  4. Step 4: Simplify right side
    332,616x = 262,191,106,116
  5. Step 5: Solve for x
    x = 262,191,106,116/332,616
  6. Step 6: Final answer
    x = 788,269.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.