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Finding the Third Proportional to 468,158 and 719,746

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Solution

The third proportional to 468,158 and 719,746 is: 1,106,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,158 : 719,746 = 719,746 : x
  2. Step 2: Convert to fraction form
    468,158/719,746 = 719,746/x
  3. Step 3: Cross multiply
    468,158x = 719,746 × 719,746
  4. Step 4: Simplify right side
    468,158x = 518,034,304,516
  5. Step 5: Solve for x
    x = 518,034,304,516/468,158
  6. Step 6: Final answer
    x = 1,106,537.33

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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.