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Finding the Third Proportional to 328,220 and 703,096

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Solution

The third proportional to 328,220 and 703,096 is: 1,506,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,220 : 703,096 = 703,096 : x
  2. Step 2: Convert to fraction form
    328,220/703,096 = 703,096/x
  3. Step 3: Cross multiply
    328,220x = 703,096 × 703,096
  4. Step 4: Simplify right side
    328,220x = 494,343,985,216
  5. Step 5: Solve for x
    x = 494,343,985,216/328,220
  6. Step 6: Final answer
    x = 1,506,136.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.