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Finding the Third Proportional to 464,114 and 718,028

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Solution

The third proportional to 464,114 and 718,028 is: 1,110,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,114 : 718,028 = 718,028 : x
  2. Step 2: Convert to fraction form
    464,114/718,028 = 718,028/x
  3. Step 3: Cross multiply
    464,114x = 718,028 × 718,028
  4. Step 4: Simplify right side
    464,114x = 515,564,208,784
  5. Step 5: Solve for x
    x = 515,564,208,784/464,114
  6. Step 6: Final answer
    x = 1,110,856.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.