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Finding the Third Proportional to 334,584 and 715,168

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Solution

The third proportional to 334,584 and 715,168 is: 1,528,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,584 : 715,168 = 715,168 : x
  2. Step 2: Convert to fraction form
    334,584/715,168 = 715,168/x
  3. Step 3: Cross multiply
    334,584x = 715,168 × 715,168
  4. Step 4: Simplify right side
    334,584x = 511,465,268,224
  5. Step 5: Solve for x
    x = 511,465,268,224/334,584
  6. Step 6: Final answer
    x = 1,528,660.27

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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.