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Finding the Third Proportional to 333,670 and 719,829

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Solution

The third proportional to 333,670 and 719,829 is: 1,552,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,670 : 719,829 = 719,829 : x
  2. Step 2: Convert to fraction form
    333,670/719,829 = 719,829/x
  3. Step 3: Cross multiply
    333,670x = 719,829 × 719,829
  4. Step 4: Simplify right side
    333,670x = 518,153,789,241
  5. Step 5: Solve for x
    x = 518,153,789,241/333,670
  6. Step 6: Final answer
    x = 1,552,892.95

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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.