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Finding the Third Proportional to 473,323 and 714,912

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Solution

The third proportional to 473,323 and 714,912 is: 1,079,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,323 : 714,912 = 714,912 : x
  2. Step 2: Convert to fraction form
    473,323/714,912 = 714,912/x
  3. Step 3: Cross multiply
    473,323x = 714,912 × 714,912
  4. Step 4: Simplify right side
    473,323x = 511,099,167,744
  5. Step 5: Solve for x
    x = 511,099,167,744/473,323
  6. Step 6: Final answer
    x = 1,079,810.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.