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Finding the Third Proportional to 470,393.50 and 706,650

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Solution

The third proportional to 470,393.50 and 706,650 is: 1,061,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,393.50 : 706,650 = 706,650 : x
  2. Step 2: Convert to fraction form
    470,393.50/706,650 = 706,650/x
  3. Step 3: Cross multiply
    470,393.50x = 706,650 × 706,650
  4. Step 4: Simplify right side
    470,393.50x = 499,354,222,500
  5. Step 5: Solve for x
    x = 499,354,222,500/470,393.50
  6. Step 6: Final answer
    x = 1,061,567.01

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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.