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Finding the Third Proportional to 562,372 and 803,625

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Solution

The third proportional to 562,372 and 803,625 is: 1,148,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,372 : 803,625 = 803,625 : x
  2. Step 2: Convert to fraction form
    562,372/803,625 = 803,625/x
  3. Step 3: Cross multiply
    562,372x = 803,625 × 803,625
  4. Step 4: Simplify right side
    562,372x = 645,813,140,625
  5. Step 5: Solve for x
    x = 645,813,140,625/562,372
  6. Step 6: Final answer
    x = 1,148,373.57

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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.