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Finding the Third Proportional to 245,180,538 and 533,407,460

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Solution

The third proportional to 245,180,538 and 533,407,460 is: 1,160,465,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,180,538 : 533,407,460 = 533,407,460 : x
  2. Step 2: Convert to fraction form
    245,180,538/533,407,460 = 533,407,460/x
  3. Step 3: Cross multiply
    245,180,538x = 533,407,460 × 533,407,460
  4. Step 4: Simplify right side
    245,180,538x = 284,523,518,383,651,584
  5. Step 5: Solve for x
    x = 284,523,518,383,651,584/245,180,538
  6. Step 6: Final answer
    x = 1,160,465,348.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.