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Finding the Third Proportional to 315,094 and 484,321

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Solution

The third proportional to 315,094 and 484,321 is: 744,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,094 : 484,321 = 484,321 : x
  2. Step 2: Convert to fraction form
    315,094/484,321 = 484,321/x
  3. Step 3: Cross multiply
    315,094x = 484,321 × 484,321
  4. Step 4: Simplify right side
    315,094x = 234,566,831,041
  5. Step 5: Solve for x
    x = 234,566,831,041/315,094
  6. Step 6: Final answer
    x = 744,434.46

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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.