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Finding the Third Proportional to 413,528 and 638,425.50

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Solution

The third proportional to 413,528 and 638,425.50 is: 985,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,528 : 638,425.50 = 638,425.50 : x
  2. Step 2: Convert to fraction form
    413,528/638,425.50 = 638,425.50/x
  3. Step 3: Cross multiply
    413,528x = 638,425.50 × 638,425.50
  4. Step 4: Simplify right side
    413,528x = 407,587,119,050.25
  5. Step 5: Solve for x
    x = 407,587,119,050.25/413,528
  6. Step 6: Final answer
    x = 985,633.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.