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Finding the Third Proportional to 330,969 and 714,417

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Solution

The third proportional to 330,969 and 714,417 is: 1,542,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,969 : 714,417 = 714,417 : x
  2. Step 2: Convert to fraction form
    330,969/714,417 = 714,417/x
  3. Step 3: Cross multiply
    330,969x = 714,417 × 714,417
  4. Step 4: Simplify right side
    330,969x = 510,391,649,889
  5. Step 5: Solve for x
    x = 510,391,649,889/330,969
  6. Step 6: Final answer
    x = 1,542,113.16

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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.