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Finding the Third Proportional to 476,142 and 695,985

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Solution

The third proportional to 476,142 and 695,985 is: 1,017,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,142 : 695,985 = 695,985 : x
  2. Step 2: Convert to fraction form
    476,142/695,985 = 695,985/x
  3. Step 3: Cross multiply
    476,142x = 695,985 × 695,985
  4. Step 4: Simplify right side
    476,142x = 484,395,120,225
  5. Step 5: Solve for x
    x = 484,395,120,225/476,142
  6. Step 6: Final answer
    x = 1,017,333.32

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Why These Related Problems?

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