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Finding the Third Proportional to 501,313 and 822,953

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Solution

The third proportional to 501,313 and 822,953 is: 1,350,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,313 : 822,953 = 822,953 : x
  2. Step 2: Convert to fraction form
    501,313/822,953 = 822,953/x
  3. Step 3: Cross multiply
    501,313x = 822,953 × 822,953
  4. Step 4: Simplify right side
    501,313x = 677,251,640,209
  5. Step 5: Solve for x
    x = 677,251,640,209/501,313
  6. Step 6: Final answer
    x = 1,350,955.67

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.