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Finding the Third Proportional to 361,045 and 562,269.50

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Solution

The third proportional to 361,045 and 562,269.50 is: 875,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,045 : 562,269.50 = 562,269.50 : x
  2. Step 2: Convert to fraction form
    361,045/562,269.50 = 562,269.50/x
  3. Step 3: Cross multiply
    361,045x = 562,269.50 × 562,269.50
  4. Step 4: Simplify right side
    361,045x = 316,146,990,630.25
  5. Step 5: Solve for x
    x = 316,146,990,630.25/361,045
  6. Step 6: Final answer
    x = 875,644.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.