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Finding the Third Proportional to 251,938 and 532,316

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Solution

The third proportional to 251,938 and 532,316 is: 1,124,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,938 : 532,316 = 532,316 : x
  2. Step 2: Convert to fraction form
    251,938/532,316 = 532,316/x
  3. Step 3: Cross multiply
    251,938x = 532,316 × 532,316
  4. Step 4: Simplify right side
    251,938x = 283,360,323,856
  5. Step 5: Solve for x
    x = 283,360,323,856/251,938
  6. Step 6: Final answer
    x = 1,124,722.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.