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Finding the Third Proportional to 460,097 and 702,600

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Solution

The third proportional to 460,097 and 702,600 is: 1,072,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,097 : 702,600 = 702,600 : x
  2. Step 2: Convert to fraction form
    460,097/702,600 = 702,600/x
  3. Step 3: Cross multiply
    460,097x = 702,600 × 702,600
  4. Step 4: Simplify right side
    460,097x = 493,646,760,000
  5. Step 5: Solve for x
    x = 493,646,760,000/460,097
  6. Step 6: Final answer
    x = 1,072,918.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.