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Finding the Third Proportional to 400,164 and 610,409

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Solution

The third proportional to 400,164 and 610,409 is: 931,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,164 : 610,409 = 610,409 : x
  2. Step 2: Convert to fraction form
    400,164/610,409 = 610,409/x
  3. Step 3: Cross multiply
    400,164x = 610,409 × 610,409
  4. Step 4: Simplify right side
    400,164x = 372,599,147,281
  5. Step 5: Solve for x
    x = 372,599,147,281/400,164
  6. Step 6: Final answer
    x = 931,116.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.