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Finding the Third Proportional to 293,313 and 525,633

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Solution

The third proportional to 293,313 and 525,633 is: 941,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,313 : 525,633 = 525,633 : x
  2. Step 2: Convert to fraction form
    293,313/525,633 = 525,633/x
  3. Step 3: Cross multiply
    293,313x = 525,633 × 525,633
  4. Step 4: Simplify right side
    293,313x = 276,290,050,689
  5. Step 5: Solve for x
    x = 276,290,050,689/293,313
  6. Step 6: Final answer
    x = 941,963.20

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.