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Finding the Third Proportional to 270,869,204.25 and 412,641,246.38

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Solution

The third proportional to 270,869,204.25 and 412,641,246.38 is: 628,616,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,869,204.25 : 412,641,246.38 = 412,641,246.38 : x
  2. Step 2: Convert to fraction form
    270,869,204.25/412,641,246.38 = 412,641,246.38/x
  3. Step 3: Cross multiply
    270,869,204.25x = 412,641,246.38 × 412,641,246.38
  4. Step 4: Simplify right side
    270,869,204.25x = 170,272,798,209,913,440
  5. Step 5: Solve for x
    x = 170,272,798,209,913,440/270,869,204.25
  6. Step 6: Final answer
    x = 628,616,304.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.