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Finding the Third Proportional to 460,245 and 732,650

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Solution

The third proportional to 460,245 and 732,650 is: 1,166,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,245 : 732,650 = 732,650 : x
  2. Step 2: Convert to fraction form
    460,245/732,650 = 732,650/x
  3. Step 3: Cross multiply
    460,245x = 732,650 × 732,650
  4. Step 4: Simplify right side
    460,245x = 536,776,022,500
  5. Step 5: Solve for x
    x = 536,776,022,500/460,245
  6. Step 6: Final answer
    x = 1,166,283.22

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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.