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Finding the Third Proportional to 464,957 and 718,152

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Solution

The third proportional to 464,957 and 718,152 is: 1,109,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,957 : 718,152 = 718,152 : x
  2. Step 2: Convert to fraction form
    464,957/718,152 = 718,152/x
  3. Step 3: Cross multiply
    464,957x = 718,152 × 718,152
  4. Step 4: Simplify right side
    464,957x = 515,742,295,104
  5. Step 5: Solve for x
    x = 515,742,295,104/464,957
  6. Step 6: Final answer
    x = 1,109,225.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.