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Finding the Third Proportional to 344,666 and 720,724

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Solution

The third proportional to 344,666 and 720,724 is: 1,507,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,666 : 720,724 = 720,724 : x
  2. Step 2: Convert to fraction form
    344,666/720,724 = 720,724/x
  3. Step 3: Cross multiply
    344,666x = 720,724 × 720,724
  4. Step 4: Simplify right side
    344,666x = 519,443,084,176
  5. Step 5: Solve for x
    x = 519,443,084,176/344,666
  6. Step 6: Final answer
    x = 1,507,091.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.