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Finding the Third Proportional to 284,916 and 609,360

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Solution

The third proportional to 284,916 and 609,360 is: 1,303,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,916 : 609,360 = 609,360 : x
  2. Step 2: Convert to fraction form
    284,916/609,360 = 609,360/x
  3. Step 3: Cross multiply
    284,916x = 609,360 × 609,360
  4. Step 4: Simplify right side
    284,916x = 371,319,609,600
  5. Step 5: Solve for x
    x = 371,319,609,600/284,916
  6. Step 6: Final answer
    x = 1,303,259.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.