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Finding the Third Proportional to 581,350 and 849,021

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Solution

The third proportional to 581,350 and 849,021 is: 1,239,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,350 : 849,021 = 849,021 : x
  2. Step 2: Convert to fraction form
    581,350/849,021 = 849,021/x
  3. Step 3: Cross multiply
    581,350x = 849,021 × 849,021
  4. Step 4: Simplify right side
    581,350x = 720,836,658,441
  5. Step 5: Solve for x
    x = 720,836,658,441/581,350
  6. Step 6: Final answer
    x = 1,239,935.77

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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.