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Finding the Third Proportional to 443,166 and 687,510

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Solution

The third proportional to 443,166 and 687,510 is: 1,066,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,166 : 687,510 = 687,510 : x
  2. Step 2: Convert to fraction form
    443,166/687,510 = 687,510/x
  3. Step 3: Cross multiply
    443,166x = 687,510 × 687,510
  4. Step 4: Simplify right side
    443,166x = 472,670,000,100
  5. Step 5: Solve for x
    x = 472,670,000,100/443,166
  6. Step 6: Final answer
    x = 1,066,575.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.