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Finding the Third Proportional to 460,096.50 and 702,598.50

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Solution

The third proportional to 460,096.50 and 702,598.50 is: 1,072,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,096.50 : 702,598.50 = 702,598.50 : x
  2. Step 2: Convert to fraction form
    460,096.50/702,598.50 = 702,598.50/x
  3. Step 3: Cross multiply
    460,096.50x = 702,598.50 × 702,598.50
  4. Step 4: Simplify right side
    460,096.50x = 493,644,652,202.25
  5. Step 5: Solve for x
    x = 493,644,652,202.25/460,096.50
  6. Step 6: Final answer
    x = 1,072,915.47

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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.