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Finding the Third Proportional to 210,781 and 497,558.50

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Solution

The third proportional to 210,781 and 497,558.50 is: 1,174,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,781 : 497,558.50 = 497,558.50 : x
  2. Step 2: Convert to fraction form
    210,781/497,558.50 = 497,558.50/x
  3. Step 3: Cross multiply
    210,781x = 497,558.50 × 497,558.50
  4. Step 4: Simplify right side
    210,781x = 247,564,460,922.25
  5. Step 5: Solve for x
    x = 247,564,460,922.25/210,781
  6. Step 6: Final answer
    x = 1,174,510.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.