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Finding the Third Proportional to 706,405.50 and 1,525,953

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Solution

The third proportional to 706,405.50 and 1,525,953 is: 3,296,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,405.50 : 1,525,953 = 1,525,953 : x
  2. Step 2: Convert to fraction form
    706,405.50/1,525,953 = 1,525,953/x
  3. Step 3: Cross multiply
    706,405.50x = 1,525,953 × 1,525,953
  4. Step 4: Simplify right side
    706,405.50x = 2,328,532,558,209
  5. Step 5: Solve for x
    x = 2,328,532,558,209/706,405.50
  6. Step 6: Final answer
    x = 3,296,311.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.