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Finding the Third Proportional to 561,613.50 and 904,729.50

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Solution

The third proportional to 561,613.50 and 904,729.50 is: 1,457,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,613.50 : 904,729.50 = 904,729.50 : x
  2. Step 2: Convert to fraction form
    561,613.50/904,729.50 = 904,729.50/x
  3. Step 3: Cross multiply
    561,613.50x = 904,729.50 × 904,729.50
  4. Step 4: Simplify right side
    561,613.50x = 818,535,468,170.25
  5. Step 5: Solve for x
    x = 818,535,468,170.25/561,613.50
  6. Step 6: Final answer
    x = 1,457,471.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.