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Finding the Third Proportional to 499,343 and 706,559

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Solution

The third proportional to 499,343 and 706,559 is: 999,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,343 : 706,559 = 706,559 : x
  2. Step 2: Convert to fraction form
    499,343/706,559 = 706,559/x
  3. Step 3: Cross multiply
    499,343x = 706,559 × 706,559
  4. Step 4: Simplify right side
    499,343x = 499,225,620,481
  5. Step 5: Solve for x
    x = 499,225,620,481/499,343
  6. Step 6: Final answer
    x = 999,764.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.