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Finding the Third Proportional to 341,911 and 744,024.50

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Solution

The third proportional to 341,911 and 744,024.50 is: 1,619,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,911 : 744,024.50 = 744,024.50 : x
  2. Step 2: Convert to fraction form
    341,911/744,024.50 = 744,024.50/x
  3. Step 3: Cross multiply
    341,911x = 744,024.50 × 744,024.50
  4. Step 4: Simplify right side
    341,911x = 553,572,456,600.25
  5. Step 5: Solve for x
    x = 553,572,456,600.25/341,911
  6. Step 6: Final answer
    x = 1,619,054.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.