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Finding the Third Proportional to 494,548 and 886,985

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Solution

The third proportional to 494,548 and 886,985 is: 1,590,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,548 : 886,985 = 886,985 : x
  2. Step 2: Convert to fraction form
    494,548/886,985 = 886,985/x
  3. Step 3: Cross multiply
    494,548x = 886,985 × 886,985
  4. Step 4: Simplify right side
    494,548x = 786,742,390,225
  5. Step 5: Solve for x
    x = 786,742,390,225/494,548
  6. Step 6: Final answer
    x = 1,590,831.20

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.