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Finding the Third Proportional to 284,643 and 616,038

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Solution

The third proportional to 284,643 and 616,038 is: 1,333,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,643 : 616,038 = 616,038 : x
  2. Step 2: Convert to fraction form
    284,643/616,038 = 616,038/x
  3. Step 3: Cross multiply
    284,643x = 616,038 × 616,038
  4. Step 4: Simplify right side
    284,643x = 379,502,817,444
  5. Step 5: Solve for x
    x = 379,502,817,444/284,643
  6. Step 6: Final answer
    x = 1,333,258.92

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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.