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Finding the Third Proportional to 499,869 and 714,313

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Solution

The third proportional to 499,869 and 714,313 is: 1,020,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,869 : 714,313 = 714,313 : x
  2. Step 2: Convert to fraction form
    499,869/714,313 = 714,313/x
  3. Step 3: Cross multiply
    499,869x = 714,313 × 714,313
  4. Step 4: Simplify right side
    499,869x = 510,243,061,969
  5. Step 5: Solve for x
    x = 510,243,061,969/499,869
  6. Step 6: Final answer
    x = 1,020,753.56

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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.