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Finding the Third Proportional to 250,582.50 and 525,771

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Solution

The third proportional to 250,582.50 and 525,771 is: 1,103,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,582.50 : 525,771 = 525,771 : x
  2. Step 2: Convert to fraction form
    250,582.50/525,771 = 525,771/x
  3. Step 3: Cross multiply
    250,582.50x = 525,771 × 525,771
  4. Step 4: Simplify right side
    250,582.50x = 276,435,144,441
  5. Step 5: Solve for x
    x = 276,435,144,441/250,582.50
  6. Step 6: Final answer
    x = 1,103,170.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.