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Finding the Third Proportional to 333,851 and 707,433

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Solution

The third proportional to 333,851 and 707,433 is: 1,499,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,851 : 707,433 = 707,433 : x
  2. Step 2: Convert to fraction form
    333,851/707,433 = 707,433/x
  3. Step 3: Cross multiply
    333,851x = 707,433 × 707,433
  4. Step 4: Simplify right side
    333,851x = 500,461,449,489
  5. Step 5: Solve for x
    x = 500,461,449,489/333,851
  6. Step 6: Final answer
    x = 1,499,056.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.