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Finding the Third Proportional to 499,815.56 and 714,232.69

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Solution

The third proportional to 499,815.56 and 714,232.69 is: 1,020,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,815.56 : 714,232.69 = 714,232.69 : x
  2. Step 2: Convert to fraction form
    499,815.56/714,232.69 = 714,232.69/x
  3. Step 3: Cross multiply
    499,815.56x = 714,232.69 × 714,232.69
  4. Step 4: Simplify right side
    499,815.56x = 510,128,331,893.47
  5. Step 5: Solve for x
    x = 510,128,331,893.47/499,815.56
  6. Step 6: Final answer
    x = 1,020,633.15

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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.