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Finding the Third Proportional to 304,412 and 484,806

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Solution

The third proportional to 304,412 and 484,806 is: 772,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,412 : 484,806 = 484,806 : x
  2. Step 2: Convert to fraction form
    304,412/484,806 = 484,806/x
  3. Step 3: Cross multiply
    304,412x = 484,806 × 484,806
  4. Step 4: Simplify right side
    304,412x = 235,036,857,636
  5. Step 5: Solve for x
    x = 235,036,857,636/304,412
  6. Step 6: Final answer
    x = 772,101.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.