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Finding the Third Proportional to 304,467 and 463,881.50

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Solution

The third proportional to 304,467 and 463,881.50 is: 706,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,467 : 463,881.50 = 463,881.50 : x
  2. Step 2: Convert to fraction form
    304,467/463,881.50 = 463,881.50/x
  3. Step 3: Cross multiply
    304,467x = 463,881.50 × 463,881.50
  4. Step 4: Simplify right side
    304,467x = 215,186,046,042.25
  5. Step 5: Solve for x
    x = 215,186,046,042.25/304,467
  6. Step 6: Final answer
    x = 706,763.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.