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Finding the Third Proportional to 476,740.69 and 706,861.69

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Solution

The third proportional to 476,740.69 and 706,861.69 is: 1,048,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,740.69 : 706,861.69 = 706,861.69 : x
  2. Step 2: Convert to fraction form
    476,740.69/706,861.69 = 706,861.69/x
  3. Step 3: Cross multiply
    476,740.69x = 706,861.69 × 706,861.69
  4. Step 4: Simplify right side
    476,740.69x = 499,653,445,255.35
  5. Step 5: Solve for x
    x = 499,653,445,255.35/476,740.69
  6. Step 6: Final answer
    x = 1,048,061.26

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