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Finding the Third Proportional to 402,484 and 931,016

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Solution

The third proportional to 402,484 and 931,016 is: 2,153,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,484 : 931,016 = 931,016 : x
  2. Step 2: Convert to fraction form
    402,484/931,016 = 931,016/x
  3. Step 3: Cross multiply
    402,484x = 931,016 × 931,016
  4. Step 4: Simplify right side
    402,484x = 866,790,792,256
  5. Step 5: Solve for x
    x = 866,790,792,256/402,484
  6. Step 6: Final answer
    x = 2,153,603.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.