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Finding the Third Proportional to 651,273 and 983,715

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Solution

The third proportional to 651,273 and 983,715 is: 1,485,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,273 : 983,715 = 983,715 : x
  2. Step 2: Convert to fraction form
    651,273/983,715 = 983,715/x
  3. Step 3: Cross multiply
    651,273x = 983,715 × 983,715
  4. Step 4: Simplify right side
    651,273x = 967,695,201,225
  5. Step 5: Solve for x
    x = 967,695,201,225/651,273
  6. Step 6: Final answer
    x = 1,485,851.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.