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Finding the Third Proportional to 295,760 and 458,810

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Solution

The third proportional to 295,760 and 458,810 is: 711,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,760 : 458,810 = 458,810 : x
  2. Step 2: Convert to fraction form
    295,760/458,810 = 458,810/x
  3. Step 3: Cross multiply
    295,760x = 458,810 × 458,810
  4. Step 4: Simplify right side
    295,760x = 210,506,616,100
  5. Step 5: Solve for x
    x = 210,506,616,100/295,760
  6. Step 6: Final answer
    x = 711,748.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.