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Finding the Third Proportional to 351,316 and 526,013

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Solution

The third proportional to 351,316 and 526,013 is: 787,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,316 : 526,013 = 526,013 : x
  2. Step 2: Convert to fraction form
    351,316/526,013 = 526,013/x
  3. Step 3: Cross multiply
    351,316x = 526,013 × 526,013
  4. Step 4: Simplify right side
    351,316x = 276,689,676,169
  5. Step 5: Solve for x
    x = 276,689,676,169/351,316
  6. Step 6: Final answer
    x = 787,580.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.