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Finding the Third Proportional to 301,152.94 and 651,919.64

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Solution

The third proportional to 301,152.94 and 651,919.64 is: 1,411,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,152.94 : 651,919.64 = 651,919.64 : x
  2. Step 2: Convert to fraction form
    301,152.94/651,919.64 = 651,919.64/x
  3. Step 3: Cross multiply
    301,152.94x = 651,919.64 × 651,919.64
  4. Step 4: Simplify right side
    301,152.94x = 424,999,217,832.63
  5. Step 5: Solve for x
    x = 424,999,217,832.63/301,152.94
  6. Step 6: Final answer
    x = 1,411,240.49

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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.