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Finding the Third Proportional to 200,017 and 437,395.50

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Solution

The third proportional to 200,017 and 437,395.50 is: 956,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,017 : 437,395.50 = 437,395.50 : x
  2. Step 2: Convert to fraction form
    200,017/437,395.50 = 437,395.50/x
  3. Step 3: Cross multiply
    200,017x = 437,395.50 × 437,395.50
  4. Step 4: Simplify right side
    200,017x = 191,314,823,420.25
  5. Step 5: Solve for x
    x = 191,314,823,420.25/200,017
  6. Step 6: Final answer
    x = 956,492.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.