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Finding the Third Proportional to 425,132 and 651,090

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Solution

The third proportional to 425,132 and 651,090 is: 997,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,132 : 651,090 = 651,090 : x
  2. Step 2: Convert to fraction form
    425,132/651,090 = 651,090/x
  3. Step 3: Cross multiply
    425,132x = 651,090 × 651,090
  4. Step 4: Simplify right side
    425,132x = 423,918,188,100
  5. Step 5: Solve for x
    x = 423,918,188,100/425,132
  6. Step 6: Final answer
    x = 997,144.86

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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.