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Finding the Third Proportional to 330,014 and 719,284

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Solution

The third proportional to 330,014 and 719,284 is: 1,567,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,014 : 719,284 = 719,284 : x
  2. Step 2: Convert to fraction form
    330,014/719,284 = 719,284/x
  3. Step 3: Cross multiply
    330,014x = 719,284 × 719,284
  4. Step 4: Simplify right side
    330,014x = 517,369,472,656
  5. Step 5: Solve for x
    x = 517,369,472,656/330,014
  6. Step 6: Final answer
    x = 1,567,719.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.