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Finding the Third Proportional to 331,008 and 714,498

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Solution

The third proportional to 331,008 and 714,498 is: 1,542,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,008 : 714,498 = 714,498 : x
  2. Step 2: Convert to fraction form
    331,008/714,498 = 714,498/x
  3. Step 3: Cross multiply
    331,008x = 714,498 × 714,498
  4. Step 4: Simplify right side
    331,008x = 510,507,392,004
  5. Step 5: Solve for x
    x = 510,507,392,004/331,008
  6. Step 6: Final answer
    x = 1,542,281.13

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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.