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Finding the Third Proportional to 285,164 and 607,022

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Solution

The third proportional to 285,164 and 607,022 is: 1,292,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,164 : 607,022 = 607,022 : x
  2. Step 2: Convert to fraction form
    285,164/607,022 = 607,022/x
  3. Step 3: Cross multiply
    285,164x = 607,022 × 607,022
  4. Step 4: Simplify right side
    285,164x = 368,475,708,484
  5. Step 5: Solve for x
    x = 368,475,708,484/285,164
  6. Step 6: Final answer
    x = 1,292,153.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.