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Finding the Third Proportional to 457,577 and 695,693.50

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Solution

The third proportional to 457,577 and 695,693.50 is: 1,057,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,577 : 695,693.50 = 695,693.50 : x
  2. Step 2: Convert to fraction form
    457,577/695,693.50 = 695,693.50/x
  3. Step 3: Cross multiply
    457,577x = 695,693.50 × 695,693.50
  4. Step 4: Simplify right side
    457,577x = 483,989,445,942.25
  5. Step 5: Solve for x
    x = 483,989,445,942.25/457,577
  6. Step 6: Final answer
    x = 1,057,722.41

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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.