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Finding the Third Proportional to 908,599.50 and 1,323,463.50

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Solution

The third proportional to 908,599.50 and 1,323,463.50 is: 1,927,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,599.50 : 1,323,463.50 = 1,323,463.50 : x
  2. Step 2: Convert to fraction form
    908,599.50/1,323,463.50 = 1,323,463.50/x
  3. Step 3: Cross multiply
    908,599.50x = 1,323,463.50 × 1,323,463.50
  4. Step 4: Simplify right side
    908,599.50x = 1,751,555,635,832.25
  5. Step 5: Solve for x
    x = 1,751,555,635,832.25/908,599.50
  6. Step 6: Final answer
    x = 1,927,753.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.