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Finding the Third Proportional to 454,611 and 713,148

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Solution

The third proportional to 454,611 and 713,148 is: 1,118,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,611 : 713,148 = 713,148 : x
  2. Step 2: Convert to fraction form
    454,611/713,148 = 713,148/x
  3. Step 3: Cross multiply
    454,611x = 713,148 × 713,148
  4. Step 4: Simplify right side
    454,611x = 508,580,069,904
  5. Step 5: Solve for x
    x = 508,580,069,904/454,611
  6. Step 6: Final answer
    x = 1,118,714.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.