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Finding the Third Proportional to 357,604 and 744,602

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Solution

The third proportional to 357,604 and 744,602 is: 1,550,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,604 : 744,602 = 744,602 : x
  2. Step 2: Convert to fraction form
    357,604/744,602 = 744,602/x
  3. Step 3: Cross multiply
    357,604x = 744,602 × 744,602
  4. Step 4: Simplify right side
    357,604x = 554,432,138,404
  5. Step 5: Solve for x
    x = 554,432,138,404/357,604
  6. Step 6: Final answer
    x = 1,550,408.10

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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.