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Finding the Third Proportional to 365,348 and 546,537

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Solution

The third proportional to 365,348 and 546,537 is: 817,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,348 : 546,537 = 546,537 : x
  2. Step 2: Convert to fraction form
    365,348/546,537 = 546,537/x
  3. Step 3: Cross multiply
    365,348x = 546,537 × 546,537
  4. Step 4: Simplify right side
    365,348x = 298,702,692,369
  5. Step 5: Solve for x
    x = 298,702,692,369/365,348
  6. Step 6: Final answer
    x = 817,584.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.