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Finding the Third Proportional to 304,866 and 470,209

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Solution

The third proportional to 304,866 and 470,209 is: 725,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,866 : 470,209 = 470,209 : x
  2. Step 2: Convert to fraction form
    304,866/470,209 = 470,209/x
  3. Step 3: Cross multiply
    304,866x = 470,209 × 470,209
  4. Step 4: Simplify right side
    304,866x = 221,096,503,681
  5. Step 5: Solve for x
    x = 221,096,503,681/304,866
  6. Step 6: Final answer
    x = 725,225.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.