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Finding the Third Proportional to 456,687 and 695,803.50

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Solution

The third proportional to 456,687 and 695,803.50 is: 1,060,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,687 : 695,803.50 = 695,803.50 : x
  2. Step 2: Convert to fraction form
    456,687/695,803.50 = 695,803.50/x
  3. Step 3: Cross multiply
    456,687x = 695,803.50 × 695,803.50
  4. Step 4: Simplify right side
    456,687x = 484,142,510,612.25
  5. Step 5: Solve for x
    x = 484,142,510,612.25/456,687
  6. Step 6: Final answer
    x = 1,060,118.88

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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.