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Finding the Third Proportional to 333,670 and 719,826

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Solution

The third proportional to 333,670 and 719,826 is: 1,552,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,670 : 719,826 = 719,826 : x
  2. Step 2: Convert to fraction form
    333,670/719,826 = 719,826/x
  3. Step 3: Cross multiply
    333,670x = 719,826 × 719,826
  4. Step 4: Simplify right side
    333,670x = 518,149,470,276
  5. Step 5: Solve for x
    x = 518,149,470,276/333,670
  6. Step 6: Final answer
    x = 1,552,880.00

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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.