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Finding the Third Proportional to 365,022 and 780,484.50

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Solution

The third proportional to 365,022 and 780,484.50 is: 1,668,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,022 : 780,484.50 = 780,484.50 : x
  2. Step 2: Convert to fraction form
    365,022/780,484.50 = 780,484.50/x
  3. Step 3: Cross multiply
    365,022x = 780,484.50 × 780,484.50
  4. Step 4: Simplify right side
    365,022x = 609,156,054,740.25
  5. Step 5: Solve for x
    x = 609,156,054,740.25/365,022
  6. Step 6: Final answer
    x = 1,668,820.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.