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Finding the Third Proportional to 200,394 and 437,724

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Solution

The third proportional to 200,394 and 437,724 is: 956,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,394 : 437,724 = 437,724 : x
  2. Step 2: Convert to fraction form
    200,394/437,724 = 437,724/x
  3. Step 3: Cross multiply
    200,394x = 437,724 × 437,724
  4. Step 4: Simplify right side
    200,394x = 191,602,300,176
  5. Step 5: Solve for x
    x = 191,602,300,176/200,394
  6. Step 6: Final answer
    x = 956,127.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.