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Finding the Third Proportional to 319,701 and 426,513

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Solution

The third proportional to 319,701 and 426,513 is: 569,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,701 : 426,513 = 426,513 : x
  2. Step 2: Convert to fraction form
    319,701/426,513 = 426,513/x
  3. Step 3: Cross multiply
    319,701x = 426,513 × 426,513
  4. Step 4: Simplify right side
    319,701x = 181,913,339,169
  5. Step 5: Solve for x
    x = 181,913,339,169/319,701
  6. Step 6: Final answer
    x = 569,010.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.