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Finding the Third Proportional to 336,444 and 499,807

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Solution

The third proportional to 336,444 and 499,807 is: 742,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,444 : 499,807 = 499,807 : x
  2. Step 2: Convert to fraction form
    336,444/499,807 = 499,807/x
  3. Step 3: Cross multiply
    336,444x = 499,807 × 499,807
  4. Step 4: Simplify right side
    336,444x = 249,807,037,249
  5. Step 5: Solve for x
    x = 249,807,037,249/336,444
  6. Step 6: Final answer
    x = 742,492.17

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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.