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Finding the Third Proportional to 200,752 and 430,484

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Solution

The third proportional to 200,752 and 430,484 is: 923,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,752 : 430,484 = 430,484 : x
  2. Step 2: Convert to fraction form
    200,752/430,484 = 430,484/x
  3. Step 3: Cross multiply
    200,752x = 430,484 × 430,484
  4. Step 4: Simplify right side
    200,752x = 185,316,474,256
  5. Step 5: Solve for x
    x = 185,316,474,256/200,752
  6. Step 6: Final answer
    x = 923,111.47

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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.