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Finding the Third Proportional to 330,984 and 714,460

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Solution

The third proportional to 330,984 and 714,460 is: 1,542,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,984 : 714,460 = 714,460 : x
  2. Step 2: Convert to fraction form
    330,984/714,460 = 714,460/x
  3. Step 3: Cross multiply
    330,984x = 714,460 × 714,460
  4. Step 4: Simplify right side
    330,984x = 510,453,091,600
  5. Step 5: Solve for x
    x = 510,453,091,600/330,984
  6. Step 6: Final answer
    x = 1,542,228.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.