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Finding the Third Proportional to 304,575 and 448,032

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Solution

The third proportional to 304,575 and 448,032 is: 659,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,575 : 448,032 = 448,032 : x
  2. Step 2: Convert to fraction form
    304,575/448,032 = 448,032/x
  3. Step 3: Cross multiply
    304,575x = 448,032 × 448,032
  4. Step 4: Simplify right side
    304,575x = 200,732,673,024
  5. Step 5: Solve for x
    x = 200,732,673,024/304,575
  6. Step 6: Final answer
    x = 659,058.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.