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Finding the Third Proportional to 302,852 and 658,732

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Solution

The third proportional to 302,852 and 658,732 is: 1,432,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,852 : 658,732 = 658,732 : x
  2. Step 2: Convert to fraction form
    302,852/658,732 = 658,732/x
  3. Step 3: Cross multiply
    302,852x = 658,732 × 658,732
  4. Step 4: Simplify right side
    302,852x = 433,927,847,824
  5. Step 5: Solve for x
    x = 433,927,847,824/302,852
  6. Step 6: Final answer
    x = 1,432,804.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.