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Finding the Third Proportional to 338,316 and 503,829

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Solution

The third proportional to 338,316 and 503,829 is: 750,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,316 : 503,829 = 503,829 : x
  2. Step 2: Convert to fraction form
    338,316/503,829 = 503,829/x
  3. Step 3: Cross multiply
    338,316x = 503,829 × 503,829
  4. Step 4: Simplify right side
    338,316x = 253,843,661,241
  5. Step 5: Solve for x
    x = 253,843,661,241/338,316
  6. Step 6: Final answer
    x = 750,315.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.