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Finding the Third Proportional to 527,140.50 and 803,117.25

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Solution

The third proportional to 527,140.50 and 803,117.25 is: 1,223,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,140.50 : 803,117.25 = 803,117.25 : x
  2. Step 2: Convert to fraction form
    527,140.50/803,117.25 = 803,117.25/x
  3. Step 3: Cross multiply
    527,140.50x = 803,117.25 × 803,117.25
  4. Step 4: Simplify right side
    527,140.50x = 644,997,317,247.56
  5. Step 5: Solve for x
    x = 644,997,317,247.56/527,140.50
  6. Step 6: Final answer
    x = 1,223,577.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.