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Finding the Third Proportional to 275,077,312.88 and 411,525,339.75

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Solution

The third proportional to 275,077,312.88 and 411,525,339.75 is: 615,656,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,077,312.88 : 411,525,339.75 = 411,525,339.75 : x
  2. Step 2: Convert to fraction form
    275,077,312.88/411,525,339.75 = 411,525,339.75/x
  3. Step 3: Cross multiply
    275,077,312.88x = 411,525,339.75 × 411,525,339.75
  4. Step 4: Simplify right side
    275,077,312.88x = 169,353,105,256,352,928
  5. Step 5: Solve for x
    x = 169,353,105,256,352,928/275,077,312.88
  6. Step 6: Final answer
    x = 615,656,389.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.