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Finding the Third Proportional to 333,657 and 719,800

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Solution

The third proportional to 333,657 and 719,800 is: 1,552,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,657 : 719,800 = 719,800 : x
  2. Step 2: Convert to fraction form
    333,657/719,800 = 719,800/x
  3. Step 3: Cross multiply
    333,657x = 719,800 × 719,800
  4. Step 4: Simplify right side
    333,657x = 518,112,040,000
  5. Step 5: Solve for x
    x = 518,112,040,000/333,657
  6. Step 6: Final answer
    x = 1,552,828.32

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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.