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Finding the Third Proportional to 295,717.50 and 458,743.50

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Solution

The third proportional to 295,717.50 and 458,743.50 is: 711,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,717.50 : 458,743.50 = 458,743.50 : x
  2. Step 2: Convert to fraction form
    295,717.50/458,743.50 = 458,743.50/x
  3. Step 3: Cross multiply
    295,717.50x = 458,743.50 × 458,743.50
  4. Step 4: Simplify right side
    295,717.50x = 210,445,598,792.25
  5. Step 5: Solve for x
    x = 210,445,598,792.25/295,717.50
  6. Step 6: Final answer
    x = 711,644.05

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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.