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Finding the Third Proportional to 452,284 and 703,323

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Solution

The third proportional to 452,284 and 703,323 is: 1,093,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,284 : 703,323 = 703,323 : x
  2. Step 2: Convert to fraction form
    452,284/703,323 = 703,323/x
  3. Step 3: Cross multiply
    452,284x = 703,323 × 703,323
  4. Step 4: Simplify right side
    452,284x = 494,663,242,329
  5. Step 5: Solve for x
    x = 494,663,242,329/452,284
  6. Step 6: Final answer
    x = 1,093,700.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.