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Finding the Third Proportional to 340,068 and 499,731

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Solution

The third proportional to 340,068 and 499,731 is: 734,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,068 : 499,731 = 499,731 : x
  2. Step 2: Convert to fraction form
    340,068/499,731 = 499,731/x
  3. Step 3: Cross multiply
    340,068x = 499,731 × 499,731
  4. Step 4: Simplify right side
    340,068x = 249,731,072,361
  5. Step 5: Solve for x
    x = 249,731,072,361/340,068
  6. Step 6: Final answer
    x = 734,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.