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Finding the Third Proportional to 295,123.50 and 409,880.25

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Solution

The third proportional to 295,123.50 and 409,880.25 is: 569,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,123.50 : 409,880.25 = 409,880.25 : x
  2. Step 2: Convert to fraction form
    295,123.50/409,880.25 = 409,880.25/x
  3. Step 3: Cross multiply
    295,123.50x = 409,880.25 × 409,880.25
  4. Step 4: Simplify right side
    295,123.50x = 168,001,819,340.06
  5. Step 5: Solve for x
    x = 168,001,819,340.06/295,123.50
  6. Step 6: Final answer
    x = 569,259.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.