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Finding the Third Proportional to 476,047.75 and 695,827.75

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Solution

The third proportional to 476,047.75 and 695,827.75 is: 1,017,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,047.75 : 695,827.75 = 695,827.75 : x
  2. Step 2: Convert to fraction form
    476,047.75/695,827.75 = 695,827.75/x
  3. Step 3: Cross multiply
    476,047.75x = 695,827.75 × 695,827.75
  4. Step 4: Simplify right side
    476,047.75x = 484,176,257,670.06
  5. Step 5: Solve for x
    x = 484,176,257,670.06/476,047.75
  6. Step 6: Final answer
    x = 1,017,074.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.