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Finding the Third Proportional to 456,160.50 and 657,082.50

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Solution

The third proportional to 456,160.50 and 657,082.50 is: 946,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,160.50 : 657,082.50 = 657,082.50 : x
  2. Step 2: Convert to fraction form
    456,160.50/657,082.50 = 657,082.50/x
  3. Step 3: Cross multiply
    456,160.50x = 657,082.50 × 657,082.50
  4. Step 4: Simplify right side
    456,160.50x = 431,757,411,806.25
  5. Step 5: Solve for x
    x = 431,757,411,806.25/456,160.50
  6. Step 6: Final answer
    x = 946,503.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.