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Finding the Third Proportional to 470,087 and 716,153

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Solution

The third proportional to 470,087 and 716,153 is: 1,091,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,087 : 716,153 = 716,153 : x
  2. Step 2: Convert to fraction form
    470,087/716,153 = 716,153/x
  3. Step 3: Cross multiply
    470,087x = 716,153 × 716,153
  4. Step 4: Simplify right side
    470,087x = 512,875,119,409
  5. Step 5: Solve for x
    x = 512,875,119,409/470,087
  6. Step 6: Final answer
    x = 1,091,021.70

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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.