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Finding the Third Proportional to 499,702 and 712,173

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Solution

The third proportional to 499,702 and 712,173 is: 1,014,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,702 : 712,173 = 712,173 : x
  2. Step 2: Convert to fraction form
    499,702/712,173 = 712,173/x
  3. Step 3: Cross multiply
    499,702x = 712,173 × 712,173
  4. Step 4: Simplify right side
    499,702x = 507,190,381,929
  5. Step 5: Solve for x
    x = 507,190,381,929/499,702
  6. Step 6: Final answer
    x = 1,014,985.70

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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.