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Finding the Third Proportional to 260,038,584 and 541,600,488

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Solution

The third proportional to 260,038,584 and 541,600,488 is: 1,128,029,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038,584 : 541,600,488 = 541,600,488 : x
  2. Step 2: Convert to fraction form
    260,038,584/541,600,488 = 541,600,488/x
  3. Step 3: Cross multiply
    260,038,584x = 541,600,488 × 541,600,488
  4. Step 4: Simplify right side
    260,038,584x = 293,331,088,601,838,144
  5. Step 5: Solve for x
    x = 293,331,088,601,838,144/260,038,584
  6. Step 6: Final answer
    x = 1,128,029,095.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.