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Finding the Third Proportional to 200,945 and 429,527

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Solution

The third proportional to 200,945 and 429,527 is: 918,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,945 : 429,527 = 429,527 : x
  2. Step 2: Convert to fraction form
    200,945/429,527 = 429,527/x
  3. Step 3: Cross multiply
    200,945x = 429,527 × 429,527
  4. Step 4: Simplify right side
    200,945x = 184,493,443,729
  5. Step 5: Solve for x
    x = 184,493,443,729/200,945
  6. Step 6: Final answer
    x = 918,129.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.