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Finding the Third Proportional to 269,539,393.50 and 414,045,479.25

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Solution

The third proportional to 269,539,393.50 and 414,045,479.25 is: 636,024,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,539,393.50 : 414,045,479.25 = 414,045,479.25 : x
  2. Step 2: Convert to fraction form
    269,539,393.50/414,045,479.25 = 414,045,479.25/x
  3. Step 3: Cross multiply
    269,539,393.50x = 414,045,479.25 × 414,045,479.25
  4. Step 4: Simplify right side
    269,539,393.50x = 171,433,658,887,362,176
  5. Step 5: Solve for x
    x = 171,433,658,887,362,176/269,539,393.50
  6. Step 6: Final answer
    x = 636,024,503.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.