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Finding the Third Proportional to 470,414 and 716,684

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Solution

The third proportional to 470,414 and 716,684 is: 1,091,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,414 : 716,684 = 716,684 : x
  2. Step 2: Convert to fraction form
    470,414/716,684 = 716,684/x
  3. Step 3: Cross multiply
    470,414x = 716,684 × 716,684
  4. Step 4: Simplify right side
    470,414x = 513,635,955,856
  5. Step 5: Solve for x
    x = 513,635,955,856/470,414
  6. Step 6: Final answer
    x = 1,091,880.68

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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.