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Finding the Third Proportional to 305,254 and 466,989

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Solution

The third proportional to 305,254 and 466,989 is: 714,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,254 : 466,989 = 466,989 : x
  2. Step 2: Convert to fraction form
    305,254/466,989 = 466,989/x
  3. Step 3: Cross multiply
    305,254x = 466,989 × 466,989
  4. Step 4: Simplify right side
    305,254x = 218,078,726,121
  5. Step 5: Solve for x
    x = 218,078,726,121/305,254
  6. Step 6: Final answer
    x = 714,417.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.