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Finding the Third Proportional to 284,640 and 616,032

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Solution

The third proportional to 284,640 and 616,032 is: 1,333,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,640 : 616,032 = 616,032 : x
  2. Step 2: Convert to fraction form
    284,640/616,032 = 616,032/x
  3. Step 3: Cross multiply
    284,640x = 616,032 × 616,032
  4. Step 4: Simplify right side
    284,640x = 379,495,425,024
  5. Step 5: Solve for x
    x = 379,495,425,024/284,640
  6. Step 6: Final answer
    x = 1,333,247.00

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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.