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Finding the Third Proportional to 395,929 and 637,471.50

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Solution

The third proportional to 395,929 and 637,471.50 is: 1,026,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,929 : 637,471.50 = 637,471.50 : x
  2. Step 2: Convert to fraction form
    395,929/637,471.50 = 637,471.50/x
  3. Step 3: Cross multiply
    395,929x = 637,471.50 × 637,471.50
  4. Step 4: Simplify right side
    395,929x = 406,369,913,312.25
  5. Step 5: Solve for x
    x = 406,369,913,312.25/395,929
  6. Step 6: Final answer
    x = 1,026,370.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.