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Finding the Third Proportional to 352,772 and 775,776

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Solution

The third proportional to 352,772 and 775,776 is: 1,705,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,772 : 775,776 = 775,776 : x
  2. Step 2: Convert to fraction form
    352,772/775,776 = 775,776/x
  3. Step 3: Cross multiply
    352,772x = 775,776 × 775,776
  4. Step 4: Simplify right side
    352,772x = 601,828,402,176
  5. Step 5: Solve for x
    x = 601,828,402,176/352,772
  6. Step 6: Final answer
    x = 1,705,998.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.