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Finding the Third Proportional to 332,965 and 719,133

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Solution

The third proportional to 332,965 and 719,133 is: 1,553,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,965 : 719,133 = 719,133 : x
  2. Step 2: Convert to fraction form
    332,965/719,133 = 719,133/x
  3. Step 3: Cross multiply
    332,965x = 719,133 × 719,133
  4. Step 4: Simplify right side
    332,965x = 517,152,271,689
  5. Step 5: Solve for x
    x = 517,152,271,689/332,965
  6. Step 6: Final answer
    x = 1,553,173.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.