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Finding the Third Proportional to 561,573.83 and 803,057.22

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Solution

The third proportional to 561,573.83 and 803,057.22 is: 1,148,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,573.83 : 803,057.22 = 803,057.22 : x
  2. Step 2: Convert to fraction form
    561,573.83/803,057.22 = 803,057.22/x
  3. Step 3: Cross multiply
    561,573.83x = 803,057.22 × 803,057.22
  4. Step 4: Simplify right side
    561,573.83x = 644,900,892,665.38
  5. Step 5: Solve for x
    x = 644,900,892,665.38/561,573.83
  6. Step 6: Final answer
    x = 1,148,381.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.