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Finding the Third Proportional to 521,751 and 744,352.50

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Solution

The third proportional to 521,751 and 744,352.50 is: 1,061,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,751 : 744,352.50 = 744,352.50 : x
  2. Step 2: Convert to fraction form
    521,751/744,352.50 = 744,352.50/x
  3. Step 3: Cross multiply
    521,751x = 744,352.50 × 744,352.50
  4. Step 4: Simplify right side
    521,751x = 554,060,644,256.25
  5. Step 5: Solve for x
    x = 554,060,644,256.25/521,751
  6. Step 6: Final answer
    x = 1,061,925.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.