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Finding the Third Proportional to 357,460 and 744,322

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Solution

The third proportional to 357,460 and 744,322 is: 1,549,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,460 : 744,322 = 744,322 : x
  2. Step 2: Convert to fraction form
    357,460/744,322 = 744,322/x
  3. Step 3: Cross multiply
    357,460x = 744,322 × 744,322
  4. Step 4: Simplify right side
    357,460x = 554,015,239,684
  5. Step 5: Solve for x
    x = 554,015,239,684/357,460
  6. Step 6: Final answer
    x = 1,549,866.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.