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Finding the Third Proportional to 200,444 and 435,088

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Solution

The third proportional to 200,444 and 435,088 is: 944,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,444 : 435,088 = 435,088 : x
  2. Step 2: Convert to fraction form
    200,444/435,088 = 435,088/x
  3. Step 3: Cross multiply
    200,444x = 435,088 × 435,088
  4. Step 4: Simplify right side
    200,444x = 189,301,567,744
  5. Step 5: Solve for x
    x = 189,301,567,744/200,444
  6. Step 6: Final answer
    x = 944,411.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.