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Finding the Third Proportional to 276,070.50 and 583,971

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Solution

The third proportional to 276,070.50 and 583,971 is: 1,235,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,070.50 : 583,971 = 583,971 : x
  2. Step 2: Convert to fraction form
    276,070.50/583,971 = 583,971/x
  3. Step 3: Cross multiply
    276,070.50x = 583,971 × 583,971
  4. Step 4: Simplify right side
    276,070.50x = 341,022,128,841
  5. Step 5: Solve for x
    x = 341,022,128,841/276,070.50
  6. Step 6: Final answer
    x = 1,235,271.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.