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Finding the Third Proportional to 304,598 and 702,023

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Solution

The third proportional to 304,598 and 702,023 is: 1,617,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,598 : 702,023 = 702,023 : x
  2. Step 2: Convert to fraction form
    304,598/702,023 = 702,023/x
  3. Step 3: Cross multiply
    304,598x = 702,023 × 702,023
  4. Step 4: Simplify right side
    304,598x = 492,836,292,529
  5. Step 5: Solve for x
    x = 492,836,292,529/304,598
  6. Step 6: Final answer
    x = 1,617,989.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.