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Finding the Third Proportional to 504,670 and 749,713

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Solution

The third proportional to 504,670 and 749,713 is: 1,113,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,670 : 749,713 = 749,713 : x
  2. Step 2: Convert to fraction form
    504,670/749,713 = 749,713/x
  3. Step 3: Cross multiply
    504,670x = 749,713 × 749,713
  4. Step 4: Simplify right side
    504,670x = 562,069,582,369
  5. Step 5: Solve for x
    x = 562,069,582,369/504,670
  6. Step 6: Final answer
    x = 1,113,736.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.