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Finding the Third Proportional to 572,266 and 905,955

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Solution

The third proportional to 572,266 and 905,955 is: 1,434,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,266 : 905,955 = 905,955 : x
  2. Step 2: Convert to fraction form
    572,266/905,955 = 905,955/x
  3. Step 3: Cross multiply
    572,266x = 905,955 × 905,955
  4. Step 4: Simplify right side
    572,266x = 820,754,462,025
  5. Step 5: Solve for x
    x = 820,754,462,025/572,266
  6. Step 6: Final answer
    x = 1,434,218.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.