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Finding the Third Proportional to 457,818 and 697,378.50

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Solution

The third proportional to 457,818 and 697,378.50 is: 1,062,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,818 : 697,378.50 = 697,378.50 : x
  2. Step 2: Convert to fraction form
    457,818/697,378.50 = 697,378.50/x
  3. Step 3: Cross multiply
    457,818x = 697,378.50 × 697,378.50
  4. Step 4: Simplify right side
    457,818x = 486,336,772,262.25
  5. Step 5: Solve for x
    x = 486,336,772,262.25/457,818
  6. Step 6: Final answer
    x = 1,062,292.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.