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Finding the Third Proportional to 470,091 and 716,158.50

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Solution

The third proportional to 470,091 and 716,158.50 is: 1,091,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,091 : 716,158.50 = 716,158.50 : x
  2. Step 2: Convert to fraction form
    470,091/716,158.50 = 716,158.50/x
  3. Step 3: Cross multiply
    470,091x = 716,158.50 × 716,158.50
  4. Step 4: Simplify right side
    470,091x = 512,882,997,122.25
  5. Step 5: Solve for x
    x = 512,882,997,122.25/470,091
  6. Step 6: Final answer
    x = 1,091,029.18

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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.