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Finding the Third Proportional to 499,674 and 712,143

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Solution

The third proportional to 499,674 and 712,143 is: 1,014,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,674 : 712,143 = 712,143 : x
  2. Step 2: Convert to fraction form
    499,674/712,143 = 712,143/x
  3. Step 3: Cross multiply
    499,674x = 712,143 × 712,143
  4. Step 4: Simplify right side
    499,674x = 507,147,652,449
  5. Step 5: Solve for x
    x = 507,147,652,449/499,674
  6. Step 6: Final answer
    x = 1,014,957.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.