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Finding the Third Proportional to 289,198,682.88 and 440,574,322.69

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Solution

The third proportional to 289,198,682.88 and 440,574,322.69 is: 671,184,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,198,682.88 : 440,574,322.69 = 440,574,322.69 : x
  2. Step 2: Convert to fraction form
    289,198,682.88/440,574,322.69 = 440,574,322.69/x
  3. Step 3: Cross multiply
    289,198,682.88x = 440,574,322.69 × 440,574,322.69
  4. Step 4: Simplify right side
    289,198,682.88x = 194,105,733,811,549,376
  5. Step 5: Solve for x
    x = 194,105,733,811,549,376/289,198,682.88
  6. Step 6: Final answer
    x = 671,184,709.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.