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Finding the Third Proportional to 328,424 and 707,494

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Solution

The third proportional to 328,424 and 707,494 is: 1,524,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,424 : 707,494 = 707,494 : x
  2. Step 2: Convert to fraction form
    328,424/707,494 = 707,494/x
  3. Step 3: Cross multiply
    328,424x = 707,494 × 707,494
  4. Step 4: Simplify right side
    328,424x = 500,547,760,036
  5. Step 5: Solve for x
    x = 500,547,760,036/328,424
  6. Step 6: Final answer
    x = 1,524,090.08

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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.