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Finding the Third Proportional to 200,360 and 473,828

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Solution

The third proportional to 200,360 and 473,828 is: 1,120,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,360 : 473,828 = 473,828 : x
  2. Step 2: Convert to fraction form
    200,360/473,828 = 473,828/x
  3. Step 3: Cross multiply
    200,360x = 473,828 × 473,828
  4. Step 4: Simplify right side
    200,360x = 224,512,973,584
  5. Step 5: Solve for x
    x = 224,512,973,584/200,360
  6. Step 6: Final answer
    x = 1,120,547.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.