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Finding the Third Proportional to 334,284 and 715,224

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Solution

The third proportional to 334,284 and 715,224 is: 1,530,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,284 : 715,224 = 715,224 : x
  2. Step 2: Convert to fraction form
    334,284/715,224 = 715,224/x
  3. Step 3: Cross multiply
    334,284x = 715,224 × 715,224
  4. Step 4: Simplify right side
    334,284x = 511,545,370,176
  5. Step 5: Solve for x
    x = 511,545,370,176/334,284
  6. Step 6: Final answer
    x = 1,530,271.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.