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Finding the Third Proportional to 546,324 and 857,024

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Solution

The third proportional to 546,324 and 857,024 is: 1,344,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,324 : 857,024 = 857,024 : x
  2. Step 2: Convert to fraction form
    546,324/857,024 = 857,024/x
  3. Step 3: Cross multiply
    546,324x = 857,024 × 857,024
  4. Step 4: Simplify right side
    546,324x = 734,490,136,576
  5. Step 5: Solve for x
    x = 734,490,136,576/546,324
  6. Step 6: Final answer
    x = 1,344,422.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.