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Finding the Third Proportional to 460,242 and 732,645

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Solution

The third proportional to 460,242 and 732,645 is: 1,166,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,242 : 732,645 = 732,645 : x
  2. Step 2: Convert to fraction form
    460,242/732,645 = 732,645/x
  3. Step 3: Cross multiply
    460,242x = 732,645 × 732,645
  4. Step 4: Simplify right side
    460,242x = 536,768,696,025
  5. Step 5: Solve for x
    x = 536,768,696,025/460,242
  6. Step 6: Final answer
    x = 1,166,274.91

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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.