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Finding the Third Proportional to 499,872.38 and 714,317.63

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Solution

The third proportional to 499,872.38 and 714,317.63 is: 1,020,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,872.38 : 714,317.63 = 714,317.63 : x
  2. Step 2: Convert to fraction form
    499,872.38/714,317.63 = 714,317.63/x
  3. Step 3: Cross multiply
    499,872.38x = 714,317.63 × 714,317.63
  4. Step 4: Simplify right side
    499,872.38x = 510,249,669,385.64
  5. Step 5: Solve for x
    x = 510,249,669,385.64/499,872.38
  6. Step 6: Final answer
    x = 1,020,759.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.