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Finding the Third Proportional to 460,350 and 706,563

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Solution

The third proportional to 460,350 and 706,563 is: 1,084,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,350 : 706,563 = 706,563 : x
  2. Step 2: Convert to fraction form
    460,350/706,563 = 706,563/x
  3. Step 3: Cross multiply
    460,350x = 706,563 × 706,563
  4. Step 4: Simplify right side
    460,350x = 499,231,272,969
  5. Step 5: Solve for x
    x = 499,231,272,969/460,350
  6. Step 6: Final answer
    x = 1,084,460.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.