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Finding the Third Proportional to 423,301.50 and 655,714.50

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Solution

The third proportional to 423,301.50 and 655,714.50 is: 1,015,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,301.50 : 655,714.50 = 655,714.50 : x
  2. Step 2: Convert to fraction form
    423,301.50/655,714.50 = 655,714.50/x
  3. Step 3: Cross multiply
    423,301.50x = 655,714.50 × 655,714.50
  4. Step 4: Simplify right side
    423,301.50x = 429,961,505,510.25
  5. Step 5: Solve for x
    x = 429,961,505,510.25/423,301.50
  6. Step 6: Final answer
    x = 1,015,733.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.