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Finding the Third Proportional to 424,082.25 and 623,403

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Solution

The third proportional to 424,082.25 and 623,403 is: 916,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,082.25 : 623,403 = 623,403 : x
  2. Step 2: Convert to fraction form
    424,082.25/623,403 = 623,403/x
  3. Step 3: Cross multiply
    424,082.25x = 623,403 × 623,403
  4. Step 4: Simplify right side
    424,082.25x = 388,631,300,409
  5. Step 5: Solve for x
    x = 388,631,300,409/424,082.25
  6. Step 6: Final answer
    x = 916,405.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.