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Finding the Third Proportional to 587,776 and 873,024

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Solution

The third proportional to 587,776 and 873,024 is: 1,296,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,776 : 873,024 = 873,024 : x
  2. Step 2: Convert to fraction form
    587,776/873,024 = 873,024/x
  3. Step 3: Cross multiply
    587,776x = 873,024 × 873,024
  4. Step 4: Simplify right side
    587,776x = 762,170,904,576
  5. Step 5: Solve for x
    x = 762,170,904,576/587,776
  6. Step 6: Final answer
    x = 1,296,703.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.