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Finding the Third Proportional to 435,294 and 616,491

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Solution

The third proportional to 435,294 and 616,491 is: 873,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,294 : 616,491 = 616,491 : x
  2. Step 2: Convert to fraction form
    435,294/616,491 = 616,491/x
  3. Step 3: Cross multiply
    435,294x = 616,491 × 616,491
  4. Step 4: Simplify right side
    435,294x = 380,061,153,081
  5. Step 5: Solve for x
    x = 380,061,153,081/435,294
  6. Step 6: Final answer
    x = 873,113.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.