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Finding the Third Proportional to 301,924.13 and 651,145.50

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Solution

The third proportional to 301,924.13 and 651,145.50 is: 1,404,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,924.13 : 651,145.50 = 651,145.50 : x
  2. Step 2: Convert to fraction form
    301,924.13/651,145.50 = 651,145.50/x
  3. Step 3: Cross multiply
    301,924.13x = 651,145.50 × 651,145.50
  4. Step 4: Simplify right side
    301,924.13x = 423,990,462,170.25
  5. Step 5: Solve for x
    x = 423,990,462,170.25/301,924.13
  6. Step 6: Final answer
    x = 1,404,294.75

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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.