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Finding the Third Proportional to 268,530,140 and 414,657,524

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Solution

The third proportional to 268,530,140 and 414,657,524 is: 640,303,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,530,140 : 414,657,524 = 414,657,524 : x
  2. Step 2: Convert to fraction form
    268,530,140/414,657,524 = 414,657,524/x
  3. Step 3: Cross multiply
    268,530,140x = 414,657,524 × 414,657,524
  4. Step 4: Simplify right side
    268,530,140x = 171,940,862,209,810,560
  5. Step 5: Solve for x
    x = 171,940,862,209,810,560/268,530,140
  6. Step 6: Final answer
    x = 640,303,774.50

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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.