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Finding the Third Proportional to 415,957.50 and 594,405

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Solution

The third proportional to 415,957.50 and 594,405 is: 849,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,957.50 : 594,405 = 594,405 : x
  2. Step 2: Convert to fraction form
    415,957.50/594,405 = 594,405/x
  3. Step 3: Cross multiply
    415,957.50x = 594,405 × 594,405
  4. Step 4: Simplify right side
    415,957.50x = 353,317,304,025
  5. Step 5: Solve for x
    x = 353,317,304,025/415,957.50
  6. Step 6: Final answer
    x = 849,407.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.