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Finding the Third Proportional to 282,963 and 616,470

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Solution

The third proportional to 282,963 and 616,470 is: 1,343,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,963 : 616,470 = 616,470 : x
  2. Step 2: Convert to fraction form
    282,963/616,470 = 616,470/x
  3. Step 3: Cross multiply
    282,963x = 616,470 × 616,470
  4. Step 4: Simplify right side
    282,963x = 380,035,260,900
  5. Step 5: Solve for x
    x = 380,035,260,900/282,963
  6. Step 6: Final answer
    x = 1,343,056.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.