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Finding the Third Proportional to 472,912 and 714,964

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Solution

The third proportional to 472,912 and 714,964 is: 1,080,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,912 : 714,964 = 714,964 : x
  2. Step 2: Convert to fraction form
    472,912/714,964 = 714,964/x
  3. Step 3: Cross multiply
    472,912x = 714,964 × 714,964
  4. Step 4: Simplify right side
    472,912x = 511,173,521,296
  5. Step 5: Solve for x
    x = 511,173,521,296/472,912
  6. Step 6: Final answer
    x = 1,080,906.22

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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.