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Finding the Third Proportional to 473,324 and 714,914

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Solution

The third proportional to 473,324 and 714,914 is: 1,079,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,324 : 714,914 = 714,914 : x
  2. Step 2: Convert to fraction form
    473,324/714,914 = 714,914/x
  3. Step 3: Cross multiply
    473,324x = 714,914 × 714,914
  4. Step 4: Simplify right side
    473,324x = 511,102,027,396
  5. Step 5: Solve for x
    x = 511,102,027,396/473,324
  6. Step 6: Final answer
    x = 1,079,814.31

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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.