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Finding the Third Proportional to 602,575 and 799,706

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Solution

The third proportional to 602,575 and 799,706 is: 1,061,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,575 : 799,706 = 799,706 : x
  2. Step 2: Convert to fraction form
    602,575/799,706 = 799,706/x
  3. Step 3: Cross multiply
    602,575x = 799,706 × 799,706
  4. Step 4: Simplify right side
    602,575x = 639,529,686,436
  5. Step 5: Solve for x
    x = 639,529,686,436/602,575
  6. Step 6: Final answer
    x = 1,061,327.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.