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Finding the Third Proportional to 499,806 and 712,314

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Solution

The third proportional to 499,806 and 712,314 is: 1,015,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,806 : 712,314 = 712,314 : x
  2. Step 2: Convert to fraction form
    499,806/712,314 = 712,314/x
  3. Step 3: Cross multiply
    499,806x = 712,314 × 712,314
  4. Step 4: Simplify right side
    499,806x = 507,391,234,596
  5. Step 5: Solve for x
    x = 507,391,234,596/499,806
  6. Step 6: Final answer
    x = 1,015,176.36

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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.