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Finding the Third Proportional to 249,550 and 383,965

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Solution

The third proportional to 249,550 and 383,965 is: 590,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,550 : 383,965 = 383,965 : x
  2. Step 2: Convert to fraction form
    249,550/383,965 = 383,965/x
  3. Step 3: Cross multiply
    249,550x = 383,965 × 383,965
  4. Step 4: Simplify right side
    249,550x = 147,429,121,225
  5. Step 5: Solve for x
    x = 147,429,121,225/249,550
  6. Step 6: Final answer
    x = 590,779.89

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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.