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Finding the Third Proportional to 643,320 and 946,264

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Solution

The third proportional to 643,320 and 946,264 is: 1,391,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,320 : 946,264 = 946,264 : x
  2. Step 2: Convert to fraction form
    643,320/946,264 = 946,264/x
  3. Step 3: Cross multiply
    643,320x = 946,264 × 946,264
  4. Step 4: Simplify right side
    643,320x = 895,415,557,696
  5. Step 5: Solve for x
    x = 895,415,557,696/643,320
  6. Step 6: Final answer
    x = 1,391,866.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.