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Finding the Third Proportional to 336,506 and 719,704

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Solution

The third proportional to 336,506 and 719,704 is: 1,539,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,506 : 719,704 = 719,704 : x
  2. Step 2: Convert to fraction form
    336,506/719,704 = 719,704/x
  3. Step 3: Cross multiply
    336,506x = 719,704 × 719,704
  4. Step 4: Simplify right side
    336,506x = 517,973,847,616
  5. Step 5: Solve for x
    x = 517,973,847,616/336,506
  6. Step 6: Final answer
    x = 1,539,270.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.