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Finding the Third Proportional to 470,032 and 706,100

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Solution

The third proportional to 470,032 and 706,100 is: 1,060,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,032 : 706,100 = 706,100 : x
  2. Step 2: Convert to fraction form
    470,032/706,100 = 706,100/x
  3. Step 3: Cross multiply
    470,032x = 706,100 × 706,100
  4. Step 4: Simplify right side
    470,032x = 498,577,210,000
  5. Step 5: Solve for x
    x = 498,577,210,000/470,032
  6. Step 6: Final answer
    x = 1,060,730.35

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