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Finding the Third Proportional to 916.50 and 1,460.63

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Solution

The third proportional to 916.50 and 1,460.63 is: 2,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.50 : 1,460.63 = 1,460.63 : x
  2. Step 2: Convert to fraction form
    916.50/1,460.63 = 1,460.63/x
  3. Step 3: Cross multiply
    916.50x = 1,460.63 × 1,460.63
  4. Step 4: Simplify right side
    916.50x = 2,133,425.39
  5. Step 5: Solve for x
    x = 2,133,425.39/916.50
  6. Step 6: Final answer
    x = 2,327.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.