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Finding the Third Proportional to 295,907 and 418,701.50

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Solution

The third proportional to 295,907 and 418,701.50 is: 592,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,907 : 418,701.50 = 418,701.50 : x
  2. Step 2: Convert to fraction form
    295,907/418,701.50 = 418,701.50/x
  3. Step 3: Cross multiply
    295,907x = 418,701.50 × 418,701.50
  4. Step 4: Simplify right side
    295,907x = 175,310,946,102.25
  5. Step 5: Solve for x
    x = 175,310,946,102.25/295,907
  6. Step 6: Final answer
    x = 592,452.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.