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Finding the Third Proportional to 304,046 and 652,371

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Solution

The third proportional to 304,046 and 652,371 is: 1,399,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,046 : 652,371 = 652,371 : x
  2. Step 2: Convert to fraction form
    304,046/652,371 = 652,371/x
  3. Step 3: Cross multiply
    304,046x = 652,371 × 652,371
  4. Step 4: Simplify right side
    304,046x = 425,587,921,641
  5. Step 5: Solve for x
    x = 425,587,921,641/304,046
  6. Step 6: Final answer
    x = 1,399,748.46

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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.