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Finding the Third Proportional to 457,740.75 and 665,833.50

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Solution

The third proportional to 457,740.75 and 665,833.50 is: 968,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,740.75 : 665,833.50 = 665,833.50 : x
  2. Step 2: Convert to fraction form
    457,740.75/665,833.50 = 665,833.50/x
  3. Step 3: Cross multiply
    457,740.75x = 665,833.50 × 665,833.50
  4. Step 4: Simplify right side
    457,740.75x = 443,334,249,722.25
  5. Step 5: Solve for x
    x = 443,334,249,722.25/457,740.75
  6. Step 6: Final answer
    x = 968,526.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.