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Finding the Third Proportional to 328,391 and 707,440

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Solution

The third proportional to 328,391 and 707,440 is: 1,524,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,391 : 707,440 = 707,440 : x
  2. Step 2: Convert to fraction form
    328,391/707,440 = 707,440/x
  3. Step 3: Cross multiply
    328,391x = 707,440 × 707,440
  4. Step 4: Simplify right side
    328,391x = 500,471,353,600
  5. Step 5: Solve for x
    x = 500,471,353,600/328,391
  6. Step 6: Final answer
    x = 1,524,010.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.