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Finding the Third Proportional to 456,133.50 and 706,342.50

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Solution

The third proportional to 456,133.50 and 706,342.50 is: 1,093,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,133.50 : 706,342.50 = 706,342.50 : x
  2. Step 2: Convert to fraction form
    456,133.50/706,342.50 = 706,342.50/x
  3. Step 3: Cross multiply
    456,133.50x = 706,342.50 × 706,342.50
  4. Step 4: Simplify right side
    456,133.50x = 498,919,727,306.25
  5. Step 5: Solve for x
    x = 498,919,727,306.25/456,133.50
  6. Step 6: Final answer
    x = 1,093,801.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.