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Finding the Third Proportional to 333,172 and 529,897

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Solution

The third proportional to 333,172 and 529,897 is: 842,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,172 : 529,897 = 529,897 : x
  2. Step 2: Convert to fraction form
    333,172/529,897 = 529,897/x
  3. Step 3: Cross multiply
    333,172x = 529,897 × 529,897
  4. Step 4: Simplify right side
    333,172x = 280,790,830,609
  5. Step 5: Solve for x
    x = 280,790,830,609/333,172
  6. Step 6: Final answer
    x = 842,780.40

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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.