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Finding the Third Proportional to 274,329,240 and 417,925,194

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Solution

The third proportional to 274,329,240 and 417,925,194 is: 636,685,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,329,240 : 417,925,194 = 417,925,194 : x
  2. Step 2: Convert to fraction form
    274,329,240/417,925,194 = 417,925,194/x
  3. Step 3: Cross multiply
    274,329,240x = 417,925,194 × 417,925,194
  4. Step 4: Simplify right side
    274,329,240x = 174,661,467,779,937,632
  5. Step 5: Solve for x
    x = 174,661,467,779,937,632/274,329,240
  6. Step 6: Final answer
    x = 636,685,567.24

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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.