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Finding the Third Proportional to 300,088 and 651,696

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Solution

The third proportional to 300,088 and 651,696 is: 1,415,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,088 : 651,696 = 651,696 : x
  2. Step 2: Convert to fraction form
    300,088/651,696 = 651,696/x
  3. Step 3: Cross multiply
    300,088x = 651,696 × 651,696
  4. Step 4: Simplify right side
    300,088x = 424,707,676,416
  5. Step 5: Solve for x
    x = 424,707,676,416/300,088
  6. Step 6: Final answer
    x = 1,415,277.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.