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Finding the Third Proportional to 333,680 and 719,852

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Solution

The third proportional to 333,680 and 719,852 is: 1,552,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,680 : 719,852 = 719,852 : x
  2. Step 2: Convert to fraction form
    333,680/719,852 = 719,852/x
  3. Step 3: Cross multiply
    333,680x = 719,852 × 719,852
  4. Step 4: Simplify right side
    333,680x = 518,186,901,904
  5. Step 5: Solve for x
    x = 518,186,901,904/333,680
  6. Step 6: Final answer
    x = 1,552,945.64

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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.