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Finding the Third Proportional to 269,804,776 and 580,530,432

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Solution

The third proportional to 269,804,776 and 580,530,432 is: 1,249,109,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,804,776 : 580,530,432 = 580,530,432 : x
  2. Step 2: Convert to fraction form
    269,804,776/580,530,432 = 580,530,432/x
  3. Step 3: Cross multiply
    269,804,776x = 580,530,432 × 580,530,432
  4. Step 4: Simplify right side
    269,804,776x = 337,015,582,478,106,624
  5. Step 5: Solve for x
    x = 337,015,582,478,106,624/269,804,776
  6. Step 6: Final answer
    x = 1,249,109,031.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.