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Finding the Third Proportional to 198,833 and 435,466

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Solution

The third proportional to 198,833 and 435,466 is: 953,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,833 : 435,466 = 435,466 : x
  2. Step 2: Convert to fraction form
    198,833/435,466 = 435,466/x
  3. Step 3: Cross multiply
    198,833x = 435,466 × 435,466
  4. Step 4: Simplify right side
    198,833x = 189,630,637,156
  5. Step 5: Solve for x
    x = 189,630,637,156/198,833
  6. Step 6: Final answer
    x = 953,718.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.