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Finding the Third Proportional to 332,670 and 719,964

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Solution

The third proportional to 332,670 and 719,964 is: 1,558,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,670 : 719,964 = 719,964 : x
  2. Step 2: Convert to fraction form
    332,670/719,964 = 719,964/x
  3. Step 3: Cross multiply
    332,670x = 719,964 × 719,964
  4. Step 4: Simplify right side
    332,670x = 518,348,161,296
  5. Step 5: Solve for x
    x = 518,348,161,296/332,670
  6. Step 6: Final answer
    x = 1,558,145.19

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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.