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Finding the Third Proportional to 314,677 and 483,961

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Solution

The third proportional to 314,677 and 483,961 is: 744,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,677 : 483,961 = 483,961 : x
  2. Step 2: Convert to fraction form
    314,677/483,961 = 483,961/x
  3. Step 3: Cross multiply
    314,677x = 483,961 × 483,961
  4. Step 4: Simplify right side
    314,677x = 234,218,249,521
  5. Step 5: Solve for x
    x = 234,218,249,521/314,677
  6. Step 6: Final answer
    x = 744,313.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.