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Finding the Third Proportional to 301,915 and 651,124

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Solution

The third proportional to 301,915 and 651,124 is: 1,404,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,915 : 651,124 = 651,124 : x
  2. Step 2: Convert to fraction form
    301,915/651,124 = 651,124/x
  3. Step 3: Cross multiply
    301,915x = 651,124 × 651,124
  4. Step 4: Simplify right side
    301,915x = 423,962,463,376
  5. Step 5: Solve for x
    x = 423,962,463,376/301,915
  6. Step 6: Final answer
    x = 1,404,244.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.