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Finding the Third Proportional to 295,472.81 and 418,127.06

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Solution

The third proportional to 295,472.81 and 418,127.06 is: 591,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,472.81 : 418,127.06 = 418,127.06 : x
  2. Step 2: Convert to fraction form
    295,472.81/418,127.06 = 418,127.06/x
  3. Step 3: Cross multiply
    295,472.81x = 418,127.06 × 418,127.06
  4. Step 4: Simplify right side
    295,472.81x = 174,830,240,394.88
  5. Step 5: Solve for x
    x = 174,830,240,394.88/295,472.81
  6. Step 6: Final answer
    x = 591,696.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.