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Finding the Third Proportional to 289,395 and 448,051.50

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Solution

The third proportional to 289,395 and 448,051.50 is: 693,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,395 : 448,051.50 = 448,051.50 : x
  2. Step 2: Convert to fraction form
    289,395/448,051.50 = 448,051.50/x
  3. Step 3: Cross multiply
    289,395x = 448,051.50 × 448,051.50
  4. Step 4: Simplify right side
    289,395x = 200,750,146,652.25
  5. Step 5: Solve for x
    x = 200,750,146,652.25/289,395
  6. Step 6: Final answer
    x = 693,689.06

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Why These Related Problems?

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