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Finding the Third Proportional to 304,833 and 470,160

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Solution

The third proportional to 304,833 and 470,160 is: 725,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,833 : 470,160 = 470,160 : x
  2. Step 2: Convert to fraction form
    304,833/470,160 = 470,160/x
  3. Step 3: Cross multiply
    304,833x = 470,160 × 470,160
  4. Step 4: Simplify right side
    304,833x = 221,050,425,600
  5. Step 5: Solve for x
    x = 221,050,425,600/304,833
  6. Step 6: Final answer
    x = 725,152.54

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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.