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Finding the Third Proportional to 249,546 and 383,958

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Solution

The third proportional to 249,546 and 383,958 is: 590,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,546 : 383,958 = 383,958 : x
  2. Step 2: Convert to fraction form
    249,546/383,958 = 383,958/x
  3. Step 3: Cross multiply
    249,546x = 383,958 × 383,958
  4. Step 4: Simplify right side
    249,546x = 147,423,745,764
  5. Step 5: Solve for x
    x = 147,423,745,764/249,546
  6. Step 6: Final answer
    x = 590,767.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.