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Finding the Third Proportional to 499,857.75 and 714,300.19

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Solution

The third proportional to 499,857.75 and 714,300.19 is: 1,020,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,857.75 : 714,300.19 = 714,300.19 : x
  2. Step 2: Convert to fraction form
    499,857.75/714,300.19 = 714,300.19/x
  3. Step 3: Cross multiply
    499,857.75x = 714,300.19 × 714,300.19
  4. Step 4: Simplify right side
    499,857.75x = 510,224,757,862.54
  5. Step 5: Solve for x
    x = 510,224,757,862.54/499,857.75
  6. Step 6: Final answer
    x = 1,020,739.92

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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.