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Finding the Third Proportional to 473,336 and 714,932

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Solution

The third proportional to 473,336 and 714,932 is: 1,079,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,336 : 714,932 = 714,932 : x
  2. Step 2: Convert to fraction form
    473,336/714,932 = 714,932/x
  3. Step 3: Cross multiply
    473,336x = 714,932 × 714,932
  4. Step 4: Simplify right side
    473,336x = 511,127,764,624
  5. Step 5: Solve for x
    x = 511,127,764,624/473,336
  6. Step 6: Final answer
    x = 1,079,841.31

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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.