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Finding the Third Proportional to 434,602.50 and 691,539

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Solution

The third proportional to 434,602.50 and 691,539 is: 1,100,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,602.50 : 691,539 = 691,539 : x
  2. Step 2: Convert to fraction form
    434,602.50/691,539 = 691,539/x
  3. Step 3: Cross multiply
    434,602.50x = 691,539 × 691,539
  4. Step 4: Simplify right side
    434,602.50x = 478,226,188,521
  5. Step 5: Solve for x
    x = 478,226,188,521/434,602.50
  6. Step 6: Final answer
    x = 1,100,376.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.