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Finding the Third Proportional to 470,088 and 716,154

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Solution

The third proportional to 470,088 and 716,154 is: 1,091,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,088 : 716,154 = 716,154 : x
  2. Step 2: Convert to fraction form
    470,088/716,154 = 716,154/x
  3. Step 3: Cross multiply
    470,088x = 716,154 × 716,154
  4. Step 4: Simplify right side
    470,088x = 512,876,551,716
  5. Step 5: Solve for x
    x = 512,876,551,716/470,088
  6. Step 6: Final answer
    x = 1,091,022.43

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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.