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Finding the Third Proportional to 329,646 and 711,852

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Solution

The third proportional to 329,646 and 711,852 is: 1,537,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,646 : 711,852 = 711,852 : x
  2. Step 2: Convert to fraction form
    329,646/711,852 = 711,852/x
  3. Step 3: Cross multiply
    329,646x = 711,852 × 711,852
  4. Step 4: Simplify right side
    329,646x = 506,733,269,904
  5. Step 5: Solve for x
    x = 506,733,269,904/329,646
  6. Step 6: Final answer
    x = 1,537,204.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.