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Finding the Third Proportional to 362,853 and 572,107.50

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Solution

The third proportional to 362,853 and 572,107.50 is: 902,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,853 : 572,107.50 = 572,107.50 : x
  2. Step 2: Convert to fraction form
    362,853/572,107.50 = 572,107.50/x
  3. Step 3: Cross multiply
    362,853x = 572,107.50 × 572,107.50
  4. Step 4: Simplify right side
    362,853x = 327,306,991,556.25
  5. Step 5: Solve for x
    x = 327,306,991,556.25/362,853
  6. Step 6: Final answer
    x = 902,037.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.