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Finding the Third Proportional to 262,142 and 573,346

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Solution

The third proportional to 262,142 and 573,346 is: 1,253,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,142 : 573,346 = 573,346 : x
  2. Step 2: Convert to fraction form
    262,142/573,346 = 573,346/x
  3. Step 3: Cross multiply
    262,142x = 573,346 × 573,346
  4. Step 4: Simplify right side
    262,142x = 328,725,635,716
  5. Step 5: Solve for x
    x = 328,725,635,716/262,142
  6. Step 6: Final answer
    x = 1,253,998.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.