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Finding the Third Proportional to 470,081 and 716,141

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Solution

The third proportional to 470,081 and 716,141 is: 1,090,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,081 : 716,141 = 716,141 : x
  2. Step 2: Convert to fraction form
    470,081/716,141 = 716,141/x
  3. Step 3: Cross multiply
    470,081x = 716,141 × 716,141
  4. Step 4: Simplify right side
    470,081x = 512,857,931,881
  5. Step 5: Solve for x
    x = 512,857,931,881/470,081
  6. Step 6: Final answer
    x = 1,090,999.07

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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.