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Finding the Third Proportional to 336,443 and 499,804

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Solution

The third proportional to 336,443 and 499,804 is: 742,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,443 : 499,804 = 499,804 : x
  2. Step 2: Convert to fraction form
    336,443/499,804 = 499,804/x
  3. Step 3: Cross multiply
    336,443x = 499,804 × 499,804
  4. Step 4: Simplify right side
    336,443x = 249,804,038,416
  5. Step 5: Solve for x
    x = 249,804,038,416/336,443
  6. Step 6: Final answer
    x = 742,485.47

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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.