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Finding the Third Proportional to 316,094 and 484,706

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Solution

The third proportional to 316,094 and 484,706 is: 743,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,094 : 484,706 = 484,706 : x
  2. Step 2: Convert to fraction form
    316,094/484,706 = 484,706/x
  3. Step 3: Cross multiply
    316,094x = 484,706 × 484,706
  4. Step 4: Simplify right side
    316,094x = 234,939,906,436
  5. Step 5: Solve for x
    x = 234,939,906,436/316,094
  6. Step 6: Final answer
    x = 743,259.62

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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.