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Finding the Third Proportional to 284,664 and 616,080

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Solution

The third proportional to 284,664 and 616,080 is: 1,333,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,664 : 616,080 = 616,080 : x
  2. Step 2: Convert to fraction form
    284,664/616,080 = 616,080/x
  3. Step 3: Cross multiply
    284,664x = 616,080 × 616,080
  4. Step 4: Simplify right side
    284,664x = 379,554,566,400
  5. Step 5: Solve for x
    x = 379,554,566,400/284,664
  6. Step 6: Final answer
    x = 1,333,342.35

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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.