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Finding the Third Proportional to 304,464 and 463,877

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Solution

The third proportional to 304,464 and 463,877 is: 706,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,464 : 463,877 = 463,877 : x
  2. Step 2: Convert to fraction form
    304,464/463,877 = 463,877/x
  3. Step 3: Cross multiply
    304,464x = 463,877 × 463,877
  4. Step 4: Simplify right side
    304,464x = 215,181,871,129
  5. Step 5: Solve for x
    x = 215,181,871,129/304,464
  6. Step 6: Final answer
    x = 706,756.37

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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.