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Finding the Third Proportional to 275,261 and 402,271.50

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Solution

The third proportional to 275,261 and 402,271.50 is: 587,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,261 : 402,271.50 = 402,271.50 : x
  2. Step 2: Convert to fraction form
    275,261/402,271.50 = 402,271.50/x
  3. Step 3: Cross multiply
    275,261x = 402,271.50 × 402,271.50
  4. Step 4: Simplify right side
    275,261x = 161,822,359,712.25
  5. Step 5: Solve for x
    x = 161,822,359,712.25/275,261
  6. Step 6: Final answer
    x = 587,886.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.