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Finding the Third Proportional to 584,250 and 882,696

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Solution

The third proportional to 584,250 and 882,696 is: 1,333,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,250 : 882,696 = 882,696 : x
  2. Step 2: Convert to fraction form
    584,250/882,696 = 882,696/x
  3. Step 3: Cross multiply
    584,250x = 882,696 × 882,696
  4. Step 4: Simplify right side
    584,250x = 779,152,228,416
  5. Step 5: Solve for x
    x = 779,152,228,416/584,250
  6. Step 6: Final answer
    x = 1,333,593.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.