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Finding the Third Proportional to 333,359 and 529,563

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Solution

The third proportional to 333,359 and 529,563 is: 841,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,359 : 529,563 = 529,563 : x
  2. Step 2: Convert to fraction form
    333,359/529,563 = 529,563/x
  3. Step 3: Cross multiply
    333,359x = 529,563 × 529,563
  4. Step 4: Simplify right side
    333,359x = 280,436,970,969
  5. Step 5: Solve for x
    x = 280,436,970,969/333,359
  6. Step 6: Final answer
    x = 841,246.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.