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Finding the Third Proportional to 272,254.50 and 586,156.50

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Solution

The third proportional to 272,254.50 and 586,156.50 is: 1,261,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,254.50 : 586,156.50 = 586,156.50 : x
  2. Step 2: Convert to fraction form
    272,254.50/586,156.50 = 586,156.50/x
  3. Step 3: Cross multiply
    272,254.50x = 586,156.50 × 586,156.50
  4. Step 4: Simplify right side
    272,254.50x = 343,579,442,492.25
  5. Step 5: Solve for x
    x = 343,579,442,492.25/272,254.50
  6. Step 6: Final answer
    x = 1,261,978.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.