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Finding the Third Proportional to 457,836 and 673,050.50

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Solution

The third proportional to 457,836 and 673,050.50 is: 989,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,836 : 673,050.50 = 673,050.50 : x
  2. Step 2: Convert to fraction form
    457,836/673,050.50 = 673,050.50/x
  3. Step 3: Cross multiply
    457,836x = 673,050.50 × 673,050.50
  4. Step 4: Simplify right side
    457,836x = 452,996,975,550.25
  5. Step 5: Solve for x
    x = 452,996,975,550.25/457,836
  6. Step 6: Final answer
    x = 989,430.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.