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Finding the Third Proportional to 413,247 and 638,572.50

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Solution

The third proportional to 413,247 and 638,572.50 is: 986,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,247 : 638,572.50 = 638,572.50 : x
  2. Step 2: Convert to fraction form
    413,247/638,572.50 = 638,572.50/x
  3. Step 3: Cross multiply
    413,247x = 638,572.50 × 638,572.50
  4. Step 4: Simplify right side
    413,247x = 407,774,837,756.25
  5. Step 5: Solve for x
    x = 407,774,837,756.25/413,247
  6. Step 6: Final answer
    x = 986,758.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.