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Finding the Third Proportional to 470,367 and 706,609.50

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Solution

The third proportional to 470,367 and 706,609.50 is: 1,061,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,367 : 706,609.50 = 706,609.50 : x
  2. Step 2: Convert to fraction form
    470,367/706,609.50 = 706,609.50/x
  3. Step 3: Cross multiply
    470,367x = 706,609.50 × 706,609.50
  4. Step 4: Simplify right side
    470,367x = 499,296,985,490.25
  5. Step 5: Solve for x
    x = 499,296,985,490.25/470,367
  6. Step 6: Final answer
    x = 1,061,505.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.