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Finding the Third Proportional to 470,067 and 716,116.50

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Solution

The third proportional to 470,067 and 716,116.50 is: 1,090,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,067 : 716,116.50 = 716,116.50 : x
  2. Step 2: Convert to fraction form
    470,067/716,116.50 = 716,116.50/x
  3. Step 3: Cross multiply
    470,067x = 716,116.50 × 716,116.50
  4. Step 4: Simplify right side
    470,067x = 512,822,841,572.25
  5. Step 5: Solve for x
    x = 512,822,841,572.25/470,067
  6. Step 6: Final answer
    x = 1,090,956.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.