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Finding the Third Proportional to 499,763.25 and 712,263.38

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Solution

The third proportional to 499,763.25 and 712,263.38 is: 1,015,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,763.25 : 712,263.38 = 712,263.38 : x
  2. Step 2: Convert to fraction form
    499,763.25/712,263.38 = 712,263.38/x
  3. Step 3: Cross multiply
    499,763.25x = 712,263.38 × 712,263.38
  4. Step 4: Simplify right side
    499,763.25x = 507,319,115,366.39
  5. Step 5: Solve for x
    x = 507,319,115,366.39/499,763.25
  6. Step 6: Final answer
    x = 1,015,118.89

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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.