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Finding the Third Proportional to 476,716.64 and 706,828.15

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Solution

The third proportional to 476,716.64 and 706,828.15 is: 1,048,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,716.64 : 706,828.15 = 706,828.15 : x
  2. Step 2: Convert to fraction form
    476,716.64/706,828.15 = 706,828.15/x
  3. Step 3: Cross multiply
    476,716.64x = 706,828.15 × 706,828.15
  4. Step 4: Simplify right side
    476,716.64x = 499,606,031,423.59
  5. Step 5: Solve for x
    x = 499,606,031,423.59/476,716.64
  6. Step 6: Final answer
    x = 1,048,014.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.