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Finding the Third Proportional to 486,402 and 731,160

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Solution

The third proportional to 486,402 and 731,160 is: 1,099,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,402 : 731,160 = 731,160 : x
  2. Step 2: Convert to fraction form
    486,402/731,160 = 731,160/x
  3. Step 3: Cross multiply
    486,402x = 731,160 × 731,160
  4. Step 4: Simplify right side
    486,402x = 534,594,945,600
  5. Step 5: Solve for x
    x = 534,594,945,600/486,402
  6. Step 6: Final answer
    x = 1,099,080.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.