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Finding the Third Proportional to 280,266,596 and 654,829,250

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Solution

The third proportional to 280,266,596 and 654,829,250 is: 1,529,976,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,266,596 : 654,829,250 = 654,829,250 : x
  2. Step 2: Convert to fraction form
    280,266,596/654,829,250 = 654,829,250/x
  3. Step 3: Cross multiply
    280,266,596x = 654,829,250 × 654,829,250
  4. Step 4: Simplify right side
    280,266,596x = 428,801,346,655,562,496
  5. Step 5: Solve for x
    x = 428,801,346,655,562,496/280,266,596
  6. Step 6: Final answer
    x = 1,529,976,646.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.