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Finding the Third Proportional to 366,798 and 803,576

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Solution

The third proportional to 366,798 and 803,576 is: 1,760,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,798 : 803,576 = 803,576 : x
  2. Step 2: Convert to fraction form
    366,798/803,576 = 803,576/x
  3. Step 3: Cross multiply
    366,798x = 803,576 × 803,576
  4. Step 4: Simplify right side
    366,798x = 645,734,387,776
  5. Step 5: Solve for x
    x = 645,734,387,776/366,798
  6. Step 6: Final answer
    x = 1,760,463.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.