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Finding the Third Proportional to 468,833 and 700,160

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Solution

The third proportional to 468,833 and 700,160 is: 1,045,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,833 : 700,160 = 700,160 : x
  2. Step 2: Convert to fraction form
    468,833/700,160 = 700,160/x
  3. Step 3: Cross multiply
    468,833x = 700,160 × 700,160
  4. Step 4: Simplify right side
    468,833x = 490,224,025,600
  5. Step 5: Solve for x
    x = 490,224,025,600/468,833
  6. Step 6: Final answer
    x = 1,045,626.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.