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Finding the Third Proportional to 457,983 and 700,573.50

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Solution

The third proportional to 457,983 and 700,573.50 is: 1,071,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,983 : 700,573.50 = 700,573.50 : x
  2. Step 2: Convert to fraction form
    457,983/700,573.50 = 700,573.50/x
  3. Step 3: Cross multiply
    457,983x = 700,573.50 × 700,573.50
  4. Step 4: Simplify right side
    457,983x = 490,803,228,902.25
  5. Step 5: Solve for x
    x = 490,803,228,902.25/457,983
  6. Step 6: Final answer
    x = 1,071,662.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.