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Finding the Third Proportional to 304,044 and 652,369

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Solution

The third proportional to 304,044 and 652,369 is: 1,399,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,044 : 652,369 = 652,369 : x
  2. Step 2: Convert to fraction form
    304,044/652,369 = 652,369/x
  3. Step 3: Cross multiply
    304,044x = 652,369 × 652,369
  4. Step 4: Simplify right side
    304,044x = 425,585,312,161
  5. Step 5: Solve for x
    x = 425,585,312,161/304,044
  6. Step 6: Final answer
    x = 1,399,749.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.