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Finding the Third Proportional to 282,746 and 616,297

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Solution

The third proportional to 282,746 and 616,297 is: 1,343,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,746 : 616,297 = 616,297 : x
  2. Step 2: Convert to fraction form
    282,746/616,297 = 616,297/x
  3. Step 3: Cross multiply
    282,746x = 616,297 × 616,297
  4. Step 4: Simplify right side
    282,746x = 379,821,992,209
  5. Step 5: Solve for x
    x = 379,821,992,209/282,746
  6. Step 6: Final answer
    x = 1,343,332.86

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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.