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Finding the Third Proportional to 282,808 and 609,895

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Solution

The third proportional to 282,808 and 609,895 is: 1,315,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,808 : 609,895 = 609,895 : x
  2. Step 2: Convert to fraction form
    282,808/609,895 = 609,895/x
  3. Step 3: Cross multiply
    282,808x = 609,895 × 609,895
  4. Step 4: Simplify right side
    282,808x = 371,971,911,025
  5. Step 5: Solve for x
    x = 371,971,911,025/282,808
  6. Step 6: Final answer
    x = 1,315,280.72

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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.