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Finding the Third Proportional to 437,347.50 and 714,149.25

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Solution

The third proportional to 437,347.50 and 714,149.25 is: 1,166,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,347.50 : 714,149.25 = 714,149.25 : x
  2. Step 2: Convert to fraction form
    437,347.50/714,149.25 = 714,149.25/x
  3. Step 3: Cross multiply
    437,347.50x = 714,149.25 × 714,149.25
  4. Step 4: Simplify right side
    437,347.50x = 510,009,151,275.56
  5. Step 5: Solve for x
    x = 510,009,151,275.56/437,347.50
  6. Step 6: Final answer
    x = 1,166,141.69

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.