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Finding the Third Proportional to 478,589.50 and 750,871.50

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Solution

The third proportional to 478,589.50 and 750,871.50 is: 1,178,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,589.50 : 750,871.50 = 750,871.50 : x
  2. Step 2: Convert to fraction form
    478,589.50/750,871.50 = 750,871.50/x
  3. Step 3: Cross multiply
    478,589.50x = 750,871.50 × 750,871.50
  4. Step 4: Simplify right side
    478,589.50x = 563,808,009,512.25
  5. Step 5: Solve for x
    x = 563,808,009,512.25/478,589.50
  6. Step 6: Final answer
    x = 1,178,061.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.