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Finding the Third Proportional to 249,884 and 365,457

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Solution

The third proportional to 249,884 and 365,457 is: 534,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,884 : 365,457 = 365,457 : x
  2. Step 2: Convert to fraction form
    249,884/365,457 = 365,457/x
  3. Step 3: Cross multiply
    249,884x = 365,457 × 365,457
  4. Step 4: Simplify right side
    249,884x = 133,558,818,849
  5. Step 5: Solve for x
    x = 133,558,818,849/249,884
  6. Step 6: Final answer
    x = 534,483.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.