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Finding the Third Proportional to 335,674 and 710,228

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Solution

The third proportional to 335,674 and 710,228 is: 1,502,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,674 : 710,228 = 710,228 : x
  2. Step 2: Convert to fraction form
    335,674/710,228 = 710,228/x
  3. Step 3: Cross multiply
    335,674x = 710,228 × 710,228
  4. Step 4: Simplify right side
    335,674x = 504,423,811,984
  5. Step 5: Solve for x
    x = 504,423,811,984/335,674
  6. Step 6: Final answer
    x = 1,502,719.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.