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Finding the Third Proportional to 233,487 and 455,310

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Solution

The third proportional to 233,487 and 455,310 is: 887,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,487 : 455,310 = 455,310 : x
  2. Step 2: Convert to fraction form
    233,487/455,310 = 455,310/x
  3. Step 3: Cross multiply
    233,487x = 455,310 × 455,310
  4. Step 4: Simplify right side
    233,487x = 207,307,196,100
  5. Step 5: Solve for x
    x = 207,307,196,100/233,487
  6. Step 6: Final answer
    x = 887,874.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.