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Finding the Third Proportional to 530,199 and 803,020.50

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Solution

The third proportional to 530,199 and 803,020.50 is: 1,216,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,199 : 803,020.50 = 803,020.50 : x
  2. Step 2: Convert to fraction form
    530,199/803,020.50 = 803,020.50/x
  3. Step 3: Cross multiply
    530,199x = 803,020.50 × 803,020.50
  4. Step 4: Simplify right side
    530,199x = 644,841,923,420.25
  5. Step 5: Solve for x
    x = 644,841,923,420.25/530,199
  6. Step 6: Final answer
    x = 1,216,226.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.