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Finding the Third Proportional to 336,580 and 714,704

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Solution

The third proportional to 336,580 and 714,704 is: 1,517,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,580 : 714,704 = 714,704 : x
  2. Step 2: Convert to fraction form
    336,580/714,704 = 714,704/x
  3. Step 3: Cross multiply
    336,580x = 714,704 × 714,704
  4. Step 4: Simplify right side
    336,580x = 510,801,807,616
  5. Step 5: Solve for x
    x = 510,801,807,616/336,580
  6. Step 6: Final answer
    x = 1,517,623.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.