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Finding the Third Proportional to 333,278 and 719,788

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Solution

The third proportional to 333,278 and 719,788 is: 1,554,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,278 : 719,788 = 719,788 : x
  2. Step 2: Convert to fraction form
    333,278/719,788 = 719,788/x
  3. Step 3: Cross multiply
    333,278x = 719,788 × 719,788
  4. Step 4: Simplify right side
    333,278x = 518,094,764,944
  5. Step 5: Solve for x
    x = 518,094,764,944/333,278
  6. Step 6: Final answer
    x = 1,554,542.35

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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.