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Finding the Third Proportional to 305,352 and 670,944

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Solution

The third proportional to 305,352 and 670,944 is: 1,474,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,352 : 670,944 = 670,944 : x
  2. Step 2: Convert to fraction form
    305,352/670,944 = 670,944/x
  3. Step 3: Cross multiply
    305,352x = 670,944 × 670,944
  4. Step 4: Simplify right side
    305,352x = 450,165,851,136
  5. Step 5: Solve for x
    x = 450,165,851,136/305,352
  6. Step 6: Final answer
    x = 1,474,252.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.