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Finding the Third Proportional to 435,003 and 612,588

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Solution

The third proportional to 435,003 and 612,588 is: 862,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,003 : 612,588 = 612,588 : x
  2. Step 2: Convert to fraction form
    435,003/612,588 = 612,588/x
  3. Step 3: Cross multiply
    435,003x = 612,588 × 612,588
  4. Step 4: Simplify right side
    435,003x = 375,264,057,744
  5. Step 5: Solve for x
    x = 375,264,057,744/435,003
  6. Step 6: Final answer
    x = 862,670.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.