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Finding the Third Proportional to 328,414 and 707,473

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Solution

The third proportional to 328,414 and 707,473 is: 1,524,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,414 : 707,473 = 707,473 : x
  2. Step 2: Convert to fraction form
    328,414/707,473 = 707,473/x
  3. Step 3: Cross multiply
    328,414x = 707,473 × 707,473
  4. Step 4: Simplify right side
    328,414x = 500,518,045,729
  5. Step 5: Solve for x
    x = 500,518,045,729/328,414
  6. Step 6: Final answer
    x = 1,524,046.01

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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.