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Finding the Third Proportional to 500,701.50 and 740,047.50

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Solution

The third proportional to 500,701.50 and 740,047.50 is: 1,093,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,701.50 : 740,047.50 = 740,047.50 : x
  2. Step 2: Convert to fraction form
    500,701.50/740,047.50 = 740,047.50/x
  3. Step 3: Cross multiply
    500,701.50x = 740,047.50 × 740,047.50
  4. Step 4: Simplify right side
    500,701.50x = 547,670,302,256.25
  5. Step 5: Solve for x
    x = 547,670,302,256.25/500,701.50
  6. Step 6: Final answer
    x = 1,093,805.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.