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Finding the Third Proportional to 534,307 and 787,333

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Solution

The third proportional to 534,307 and 787,333 is: 1,160,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,307 : 787,333 = 787,333 : x
  2. Step 2: Convert to fraction form
    534,307/787,333 = 787,333/x
  3. Step 3: Cross multiply
    534,307x = 787,333 × 787,333
  4. Step 4: Simplify right side
    534,307x = 619,893,252,889
  5. Step 5: Solve for x
    x = 619,893,252,889/534,307
  6. Step 6: Final answer
    x = 1,160,181.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.