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Finding the Third Proportional to 278,142.50 and 571,030.25

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Solution

The third proportional to 278,142.50 and 571,030.25 is: 1,172,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,142.50 : 571,030.25 = 571,030.25 : x
  2. Step 2: Convert to fraction form
    278,142.50/571,030.25 = 571,030.25/x
  3. Step 3: Cross multiply
    278,142.50x = 571,030.25 × 571,030.25
  4. Step 4: Simplify right side
    278,142.50x = 326,075,546,415.06
  5. Step 5: Solve for x
    x = 326,075,546,415.06/278,142.50
  6. Step 6: Final answer
    x = 1,172,332.69

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.