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Finding the Third Proportional to 436,301 and 640,086

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Solution

The third proportional to 436,301 and 640,086 is: 939,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,301 : 640,086 = 640,086 : x
  2. Step 2: Convert to fraction form
    436,301/640,086 = 640,086/x
  3. Step 3: Cross multiply
    436,301x = 640,086 × 640,086
  4. Step 4: Simplify right side
    436,301x = 409,710,087,396
  5. Step 5: Solve for x
    x = 409,710,087,396/436,301
  6. Step 6: Final answer
    x = 939,053.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.