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Finding the Third Proportional to 434,875.50 and 691,842

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Solution

The third proportional to 434,875.50 and 691,842 is: 1,100,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,875.50 : 691,842 = 691,842 : x
  2. Step 2: Convert to fraction form
    434,875.50/691,842 = 691,842/x
  3. Step 3: Cross multiply
    434,875.50x = 691,842 × 691,842
  4. Step 4: Simplify right side
    434,875.50x = 478,645,352,964
  5. Step 5: Solve for x
    x = 478,645,352,964/434,875.50
  6. Step 6: Final answer
    x = 1,100,649.16

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