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Finding the Third Proportional to 304,851 and 470,187

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Solution

The third proportional to 304,851 and 470,187 is: 725,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,851 : 470,187 = 470,187 : x
  2. Step 2: Convert to fraction form
    304,851/470,187 = 470,187/x
  3. Step 3: Cross multiply
    304,851x = 470,187 × 470,187
  4. Step 4: Simplify right side
    304,851x = 221,075,814,969
  5. Step 5: Solve for x
    x = 221,075,814,969/304,851
  6. Step 6: Final answer
    x = 725,193.01

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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.