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Finding the Third Proportional to 602,952.75 and 959,778

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Solution

The third proportional to 602,952.75 and 959,778 is: 1,527,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,952.75 : 959,778 = 959,778 : x
  2. Step 2: Convert to fraction form
    602,952.75/959,778 = 959,778/x
  3. Step 3: Cross multiply
    602,952.75x = 959,778 × 959,778
  4. Step 4: Simplify right side
    602,952.75x = 921,173,809,284
  5. Step 5: Solve for x
    x = 921,173,809,284/602,952.75
  6. Step 6: Final answer
    x = 1,527,771.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.