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Finding the Third Proportional to 493,151 and 742,562

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Solution

The third proportional to 493,151 and 742,562 is: 1,118,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,151 : 742,562 = 742,562 : x
  2. Step 2: Convert to fraction form
    493,151/742,562 = 742,562/x
  3. Step 3: Cross multiply
    493,151x = 742,562 × 742,562
  4. Step 4: Simplify right side
    493,151x = 551,398,323,844
  5. Step 5: Solve for x
    x = 551,398,323,844/493,151
  6. Step 6: Final answer
    x = 1,118,112.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.