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Finding the Third Proportional to 470,168 and 716,269

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Solution

The third proportional to 470,168 and 716,269 is: 1,091,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,168 : 716,269 = 716,269 : x
  2. Step 2: Convert to fraction form
    470,168/716,269 = 716,269/x
  3. Step 3: Cross multiply
    470,168x = 716,269 × 716,269
  4. Step 4: Simplify right side
    470,168x = 513,041,280,361
  5. Step 5: Solve for x
    x = 513,041,280,361/470,168
  6. Step 6: Final answer
    x = 1,091,187.15

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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.