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Finding the Third Proportional to 504,663 and 749,706

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Solution

The third proportional to 504,663 and 749,706 is: 1,113,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,663 : 749,706 = 749,706 : x
  2. Step 2: Convert to fraction form
    504,663/749,706 = 749,706/x
  3. Step 3: Cross multiply
    504,663x = 749,706 × 749,706
  4. Step 4: Simplify right side
    504,663x = 562,059,086,436
  5. Step 5: Solve for x
    x = 562,059,086,436/504,663
  6. Step 6: Final answer
    x = 1,113,731.51

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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.