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Finding the Third Proportional to 573,381 and 801,967.50

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Solution

The third proportional to 573,381 and 801,967.50 is: 1,121,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,381 : 801,967.50 = 801,967.50 : x
  2. Step 2: Convert to fraction form
    573,381/801,967.50 = 801,967.50/x
  3. Step 3: Cross multiply
    573,381x = 801,967.50 × 801,967.50
  4. Step 4: Simplify right side
    573,381x = 643,151,871,056.25
  5. Step 5: Solve for x
    x = 643,151,871,056.25/573,381
  6. Step 6: Final answer
    x = 1,121,683.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.