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Finding the Third Proportional to 282,519 and 609,851

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Solution

The third proportional to 282,519 and 609,851 is: 1,316,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,519 : 609,851 = 609,851 : x
  2. Step 2: Convert to fraction form
    282,519/609,851 = 609,851/x
  3. Step 3: Cross multiply
    282,519x = 609,851 × 609,851
  4. Step 4: Simplify right side
    282,519x = 371,918,242,201
  5. Step 5: Solve for x
    x = 371,918,242,201/282,519
  6. Step 6: Final answer
    x = 1,316,436.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.