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Finding the Third Proportional to 470,162.25 and 716,259.38

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Solution

The third proportional to 470,162.25 and 716,259.38 is: 1,091,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,162.25 : 716,259.38 = 716,259.38 : x
  2. Step 2: Convert to fraction form
    470,162.25/716,259.38 = 716,259.38/x
  3. Step 3: Cross multiply
    470,162.25x = 716,259.38 × 716,259.38
  4. Step 4: Simplify right side
    470,162.25x = 513,027,492,275.39
  5. Step 5: Solve for x
    x = 513,027,492,275.39/470,162.25
  6. Step 6: Final answer
    x = 1,091,171.17

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Why These Related Problems?

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