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Finding the Third Proportional to 568,024 and 830,066

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Solution

The third proportional to 568,024 and 830,066 is: 1,212,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,024 : 830,066 = 830,066 : x
  2. Step 2: Convert to fraction form
    568,024/830,066 = 830,066/x
  3. Step 3: Cross multiply
    568,024x = 830,066 × 830,066
  4. Step 4: Simplify right side
    568,024x = 689,009,564,356
  5. Step 5: Solve for x
    x = 689,009,564,356/568,024
  6. Step 6: Final answer
    x = 1,212,993.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.