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Finding the Third Proportional to 328,378 and 709,148

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Solution

The third proportional to 328,378 and 709,148 is: 1,531,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,378 : 709,148 = 709,148 : x
  2. Step 2: Convert to fraction form
    328,378/709,148 = 709,148/x
  3. Step 3: Cross multiply
    328,378x = 709,148 × 709,148
  4. Step 4: Simplify right side
    328,378x = 502,890,885,904
  5. Step 5: Solve for x
    x = 502,890,885,904/328,378
  6. Step 6: Final answer
    x = 1,531,439.03

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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.