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Finding the Third Proportional to 559,066 and 744,855

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Solution

The third proportional to 559,066 and 744,855 is: 992,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,066 : 744,855 = 744,855 : x
  2. Step 2: Convert to fraction form
    559,066/744,855 = 744,855/x
  3. Step 3: Cross multiply
    559,066x = 744,855 × 744,855
  4. Step 4: Simplify right side
    559,066x = 554,808,971,025
  5. Step 5: Solve for x
    x = 554,808,971,025/559,066
  6. Step 6: Final answer
    x = 992,385.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.