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Finding the Third Proportional to 452,403 and 703,409

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Solution

The third proportional to 452,403 and 703,409 is: 1,093,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,403 : 703,409 = 703,409 : x
  2. Step 2: Convert to fraction form
    452,403/703,409 = 703,409/x
  3. Step 3: Cross multiply
    452,403x = 703,409 × 703,409
  4. Step 4: Simplify right side
    452,403x = 494,784,221,281
  5. Step 5: Solve for x
    x = 494,784,221,281/452,403
  6. Step 6: Final answer
    x = 1,093,680.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.