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Finding the Third Proportional to 304,582 and 669,914

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Solution

The third proportional to 304,582 and 669,914 is: 1,473,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,582 : 669,914 = 669,914 : x
  2. Step 2: Convert to fraction form
    304,582/669,914 = 669,914/x
  3. Step 3: Cross multiply
    304,582x = 669,914 × 669,914
  4. Step 4: Simplify right side
    304,582x = 448,784,767,396
  5. Step 5: Solve for x
    x = 448,784,767,396/304,582
  6. Step 6: Final answer
    x = 1,473,444.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.